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Finding the Fourth Proportional to 2,765.16, 4,143.42 and 1,737

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Solution

The fourth proportional to 2,765.16, 4,143.42 and 1,737 is: 2,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.16 : 4,143.42 = 1,737 : x
  2. Step 2: Convert to fraction form
    2,765.16/4,143.42 = 1,737/x
  3. Step 3: Cross multiply
    2,765.16x = 4,143.42 × 1,737
  4. Step 4: Simplify right side
    2,765.16x = 7,197,120.54
  5. Step 5: Solve for x
    x = 7,197,120.54/2,765.16
  6. Step 6: Final answer
    x = 2,602.79

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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.