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Finding the Fourth Proportional to 2,737.16, 4,103.64 and 887.15

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Solution

The fourth proportional to 2,737.16, 4,103.64 and 887.15 is: 1,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.16 : 4,103.64 = 887.15 : x
  2. Step 2: Convert to fraction form
    2,737.16/4,103.64 = 887.15/x
  3. Step 3: Cross multiply
    2,737.16x = 4,103.64 × 887.15
  4. Step 4: Simplify right side
    2,737.16x = 3,640,544.23
  5. Step 5: Solve for x
    x = 3,640,544.23/2,737.16
  6. Step 6: Final answer
    x = 1,330.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.