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Finding the Fourth Proportional to 3,264.40, 4,897.41 and 1,531

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Solution

The fourth proportional to 3,264.40, 4,897.41 and 1,531 is: 2,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.40 : 4,897.41 = 1,531 : x
  2. Step 2: Convert to fraction form
    3,264.40/4,897.41 = 1,531/x
  3. Step 3: Cross multiply
    3,264.40x = 4,897.41 × 1,531
  4. Step 4: Simplify right side
    3,264.40x = 7,497,934.71
  5. Step 5: Solve for x
    x = 7,497,934.71/3,264.40
  6. Step 6: Final answer
    x = 2,296.88

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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.