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Finding the Fourth Proportional to 1,627.46, 2,439.10 and 794.71

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Solution

The fourth proportional to 1,627.46, 2,439.10 and 794.71 is: 1,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.46 : 2,439.10 = 794.71 : x
  2. Step 2: Convert to fraction form
    1,627.46/2,439.10 = 794.71/x
  3. Step 3: Cross multiply
    1,627.46x = 2,439.10 × 794.71
  4. Step 4: Simplify right side
    1,627.46x = 1,938,381.20
  5. Step 5: Solve for x
    x = 1,938,381.20/1,627.46
  6. Step 6: Final answer
    x = 1,191.05

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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.