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Finding the Fourth Proportional to 2,417.61, 3,337.80 and 1,534.92

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Solution

The fourth proportional to 2,417.61, 3,337.80 and 1,534.92 is: 2,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.61 : 3,337.80 = 1,534.92 : x
  2. Step 2: Convert to fraction form
    2,417.61/3,337.80 = 1,534.92/x
  3. Step 3: Cross multiply
    2,417.61x = 3,337.80 × 1,534.92
  4. Step 4: Simplify right side
    2,417.61x = 5,123,255.98
  5. Step 5: Solve for x
    x = 5,123,255.98/2,417.61
  6. Step 6: Final answer
    x = 2,119.14

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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.