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Finding the Fourth Proportional to 1,337.41, 2,006.18 and 949.15

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Solution

The fourth proportional to 1,337.41, 2,006.18 and 949.15 is: 1,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.41 : 2,006.18 = 949.15 : x
  2. Step 2: Convert to fraction form
    1,337.41/2,006.18 = 949.15/x
  3. Step 3: Cross multiply
    1,337.41x = 2,006.18 × 949.15
  4. Step 4: Simplify right side
    1,337.41x = 1,904,167.07
  5. Step 5: Solve for x
    x = 1,904,167.07/1,337.41
  6. Step 6: Final answer
    x = 1,423.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.