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Finding the Fourth Proportional to 1,737.89, 2,402.03 and 1,537.30

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Solution

The fourth proportional to 1,737.89, 2,402.03 and 1,537.30 is: 2,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.89 : 2,402.03 = 1,537.30 : x
  2. Step 2: Convert to fraction form
    1,737.89/2,402.03 = 1,537.30/x
  3. Step 3: Cross multiply
    1,737.89x = 2,402.03 × 1,537.30
  4. Step 4: Simplify right side
    1,737.89x = 3,692,638.56
  5. Step 5: Solve for x
    x = 3,692,638.56/1,737.89
  6. Step 6: Final answer
    x = 2,124.79

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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.