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Finding the Fourth Proportional to 3,073.32, 4,242.06 and 1,747.74

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Solution

The fourth proportional to 3,073.32, 4,242.06 and 1,747.74 is: 2,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.32 : 4,242.06 = 1,747.74 : x
  2. Step 2: Convert to fraction form
    3,073.32/4,242.06 = 1,747.74/x
  3. Step 3: Cross multiply
    3,073.32x = 4,242.06 × 1,747.74
  4. Step 4: Simplify right side
    3,073.32x = 7,414,017.94
  5. Step 5: Solve for x
    x = 7,414,017.94/3,073.32
  6. Step 6: Final answer
    x = 2,412.38

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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.