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Finding the Fourth Proportional to 1,737.36, 2,592.54 and 1,582.11

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Solution

The fourth proportional to 1,737.36, 2,592.54 and 1,582.11 is: 2,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.36 : 2,592.54 = 1,582.11 : x
  2. Step 2: Convert to fraction form
    1,737.36/2,592.54 = 1,582.11/x
  3. Step 3: Cross multiply
    1,737.36x = 2,592.54 × 1,582.11
  4. Step 4: Simplify right side
    1,737.36x = 4,101,683.46
  5. Step 5: Solve for x
    x = 4,101,683.46/1,737.36
  6. Step 6: Final answer
    x = 2,360.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.