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Finding the Fourth Proportional to 1,737.15, 2,397.38 and 1,140

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Solution

The fourth proportional to 1,737.15, 2,397.38 and 1,140 is: 1,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.15 : 2,397.38 = 1,140 : x
  2. Step 2: Convert to fraction form
    1,737.15/2,397.38 = 1,140/x
  3. Step 3: Cross multiply
    1,737.15x = 2,397.38 × 1,140
  4. Step 4: Simplify right side
    1,737.15x = 2,733,007.50
  5. Step 5: Solve for x
    x = 2,733,007.50/1,737.15
  6. Step 6: Final answer
    x = 1,573.27

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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.