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Finding the Fourth Proportional to 2,765.64, 4,147.54 and 916.23

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Solution

The fourth proportional to 2,765.64, 4,147.54 and 916.23 is: 1,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.64 : 4,147.54 = 916.23 : x
  2. Step 2: Convert to fraction form
    2,765.64/4,147.54 = 916.23/x
  3. Step 3: Cross multiply
    2,765.64x = 4,147.54 × 916.23
  4. Step 4: Simplify right side
    2,765.64x = 3,800,098.28
  5. Step 5: Solve for x
    x = 3,800,098.28/2,765.64
  6. Step 6: Final answer
    x = 1,374.04

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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.