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Finding the Fourth Proportional to 3,003.97, 4,505.95 and 1,542.19

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Solution

The fourth proportional to 3,003.97, 4,505.95 and 1,542.19 is: 2,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.97 : 4,505.95 = 1,542.19 : x
  2. Step 2: Convert to fraction form
    3,003.97/4,505.95 = 1,542.19/x
  3. Step 3: Cross multiply
    3,003.97x = 4,505.95 × 1,542.19
  4. Step 4: Simplify right side
    3,003.97x = 6,949,008.50
  5. Step 5: Solve for x
    x = 6,949,008.50/3,003.97
  6. Step 6: Final answer
    x = 2,313.28

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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.