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Finding the Fourth Proportional to 3,034.71, 4,551.57 and 842.97

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Solution

The fourth proportional to 3,034.71, 4,551.57 and 842.97 is: 1,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.71 : 4,551.57 = 842.97 : x
  2. Step 2: Convert to fraction form
    3,034.71/4,551.57 = 842.97/x
  3. Step 3: Cross multiply
    3,034.71x = 4,551.57 × 842.97
  4. Step 4: Simplify right side
    3,034.71x = 3,836,836.96
  5. Step 5: Solve for x
    x = 3,836,836.96/3,034.71
  6. Step 6: Final answer
    x = 1,264.32

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1.5x scale

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.