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Finding the Fourth Proportional to 3,042.66, 4,563.99 and 734.16

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Solution

The fourth proportional to 3,042.66, 4,563.99 and 734.16 is: 1,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.66 : 4,563.99 = 734.16 : x
  2. Step 2: Convert to fraction form
    3,042.66/4,563.99 = 734.16/x
  3. Step 3: Cross multiply
    3,042.66x = 4,563.99 × 734.16
  4. Step 4: Simplify right side
    3,042.66x = 3,350,698.90
  5. Step 5: Solve for x
    x = 3,350,698.90/3,042.66
  6. Step 6: Final answer
    x = 1,101.24

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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.