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Finding the Fourth Proportional to 3,417.68, 4,715.68 and 2,001.50

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Solution

The fourth proportional to 3,417.68, 4,715.68 and 2,001.50 is: 2,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.68 : 4,715.68 = 2,001.50 : x
  2. Step 2: Convert to fraction form
    3,417.68/4,715.68 = 2,001.50/x
  3. Step 3: Cross multiply
    3,417.68x = 4,715.68 × 2,001.50
  4. Step 4: Simplify right side
    3,417.68x = 9,438,433.52
  5. Step 5: Solve for x
    x = 9,438,433.52/3,417.68
  6. Step 6: Final answer
    x = 2,761.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.