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Finding the Fourth Proportional to 3,073.66, 4,242.01 and 1,747.56

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Solution

The fourth proportional to 3,073.66, 4,242.01 and 1,747.56 is: 2,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.66 : 4,242.01 = 1,747.56 : x
  2. Step 2: Convert to fraction form
    3,073.66/4,242.01 = 1,747.56/x
  3. Step 3: Cross multiply
    3,073.66x = 4,242.01 × 1,747.56
  4. Step 4: Simplify right side
    3,073.66x = 7,413,167.00
  5. Step 5: Solve for x
    x = 7,413,167.00/3,073.66
  6. Step 6: Final answer
    x = 2,411.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.