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Finding the Fourth Proportional to 2,377.32, 3,566.13 and 916.48

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Solution

The fourth proportional to 2,377.32, 3,566.13 and 916.48 is: 1,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.32 : 3,566.13 = 916.48 : x
  2. Step 2: Convert to fraction form
    2,377.32/3,566.13 = 916.48/x
  3. Step 3: Cross multiply
    2,377.32x = 3,566.13 × 916.48
  4. Step 4: Simplify right side
    2,377.32x = 3,268,286.82
  5. Step 5: Solve for x
    x = 3,268,286.82/2,377.32
  6. Step 6: Final answer
    x = 1,374.78

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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.