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Finding the Fourth Proportional to 2,751.90, 4,127.85 and 902.57

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Solution

The fourth proportional to 2,751.90, 4,127.85 and 902.57 is: 1,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.90 : 4,127.85 = 902.57 : x
  2. Step 2: Convert to fraction form
    2,751.90/4,127.85 = 902.57/x
  3. Step 3: Cross multiply
    2,751.90x = 4,127.85 × 902.57
  4. Step 4: Simplify right side
    2,751.90x = 3,725,683.89
  5. Step 5: Solve for x
    x = 3,725,683.89/2,751.90
  6. Step 6: Final answer
    x = 1,353.86

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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.