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Finding the Fourth Proportional to 1,737.12, 2,393.74 and 1,474.68

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Solution

The fourth proportional to 1,737.12, 2,393.74 and 1,474.68 is: 2,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.12 : 2,393.74 = 1,474.68 : x
  2. Step 2: Convert to fraction form
    1,737.12/2,393.74 = 1,474.68/x
  3. Step 3: Cross multiply
    1,737.12x = 2,393.74 × 1,474.68
  4. Step 4: Simplify right side
    1,737.12x = 3,530,000.50
  5. Step 5: Solve for x
    x = 3,530,000.50/1,737.12
  6. Step 6: Final answer
    x = 2,032.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.