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Finding the Fourth Proportional to 1,737.33, 2,601.19 and 913.83

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Solution

The fourth proportional to 1,737.33, 2,601.19 and 913.83 is: 1,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.33 : 2,601.19 = 913.83 : x
  2. Step 2: Convert to fraction form
    1,737.33/2,601.19 = 913.83/x
  3. Step 3: Cross multiply
    1,737.33x = 2,601.19 × 913.83
  4. Step 4: Simplify right side
    1,737.33x = 2,377,045.46
  5. Step 5: Solve for x
    x = 2,377,045.46/1,737.33
  6. Step 6: Final answer
    x = 1,368.22

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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.