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Finding the Fourth Proportional to 2,347.96, 3,526.74 and 1,983.40

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Solution

The fourth proportional to 2,347.96, 3,526.74 and 1,983.40 is: 2,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.96 : 3,526.74 = 1,983.40 : x
  2. Step 2: Convert to fraction form
    2,347.96/3,526.74 = 1,983.40/x
  3. Step 3: Cross multiply
    2,347.96x = 3,526.74 × 1,983.40
  4. Step 4: Simplify right side
    2,347.96x = 6,994,936.12
  5. Step 5: Solve for x
    x = 6,994,936.12/2,347.96
  6. Step 6: Final answer
    x = 2,979.15

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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.