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Finding the Fourth Proportional to 2,387.10, 3,580.38 and 655.50

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Solution

The fourth proportional to 2,387.10, 3,580.38 and 655.50 is: 983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.10 : 3,580.38 = 655.50 : x
  2. Step 2: Convert to fraction form
    2,387.10/3,580.38 = 655.50/x
  3. Step 3: Cross multiply
    2,387.10x = 3,580.38 × 655.50
  4. Step 4: Simplify right side
    2,387.10x = 2,346,939.09
  5. Step 5: Solve for x
    x = 2,346,939.09/2,387.10
  6. Step 6: Final answer
    x = 983.18

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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.