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Finding the Fourth Proportional to 2,081,985.40, 3,122,978.10 and 1,763,120.80

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Solution

The fourth proportional to 2,081,985.40, 3,122,978.10 and 1,763,120.80 is: 2,644,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,985.40 : 3,122,978.10 = 1,763,120.80 : x
  2. Step 2: Convert to fraction form
    2,081,985.40/3,122,978.10 = 1,763,120.80/x
  3. Step 3: Cross multiply
    2,081,985.40x = 3,122,978.10 × 1,763,120.80
  4. Step 4: Simplify right side
    2,081,985.40x = 5,506,187,646,054.48
  5. Step 5: Solve for x
    x = 5,506,187,646,054.48/2,081,985.40
  6. Step 6: Final answer
    x = 2,644,681.20

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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.