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Finding the Fourth Proportional to 4,052.19, 6,078.29 and 974.19

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Solution

The fourth proportional to 4,052.19, 6,078.29 and 974.19 is: 1,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.19 : 6,078.29 = 974.19 : x
  2. Step 2: Convert to fraction form
    4,052.19/6,078.29 = 974.19/x
  3. Step 3: Cross multiply
    4,052.19x = 6,078.29 × 974.19
  4. Step 4: Simplify right side
    4,052.19x = 5,921,404.46
  5. Step 5: Solve for x
    x = 5,921,404.46/4,052.19
  6. Step 6: Final answer
    x = 1,461.29

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Similar ratio
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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.