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Finding the Fourth Proportional to 1,737.48, 2,601.84 and 1,583.64

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Solution

The fourth proportional to 1,737.48, 2,601.84 and 1,583.64 is: 2,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.48 : 2,601.84 = 1,583.64 : x
  2. Step 2: Convert to fraction form
    1,737.48/2,601.84 = 1,583.64/x
  3. Step 3: Cross multiply
    1,737.48x = 2,601.84 × 1,583.64
  4. Step 4: Simplify right side
    1,737.48x = 4,120,377.90
  5. Step 5: Solve for x
    x = 4,120,377.90/1,737.48
  6. Step 6: Final answer
    x = 2,371.47

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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.