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Finding the Fourth Proportional to 1,997,114.80, 2,991,985.80 and 1,864,404.40

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Solution

The fourth proportional to 1,997,114.80, 2,991,985.80 and 1,864,404.40 is: 2,793,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,114.80 : 2,991,985.80 = 1,864,404.40 : x
  2. Step 2: Convert to fraction form
    1,997,114.80/2,991,985.80 = 1,864,404.40/x
  3. Step 3: Cross multiply
    1,997,114.80x = 2,991,985.80 × 1,864,404.40
  4. Step 4: Simplify right side
    1,997,114.80x = 5,578,271,490,257.52
  5. Step 5: Solve for x
    x = 5,578,271,490,257.52/1,997,114.80
  6. Step 6: Final answer
    x = 2,793,165.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.