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Finding the Fourth Proportional to 3,154.71, 4,734.18 and 1,102.71

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Solution

The fourth proportional to 3,154.71, 4,734.18 and 1,102.71 is: 1,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.71 : 4,734.18 = 1,102.71 : x
  2. Step 2: Convert to fraction form
    3,154.71/4,734.18 = 1,102.71/x
  3. Step 3: Cross multiply
    3,154.71x = 4,734.18 × 1,102.71
  4. Step 4: Simplify right side
    3,154.71x = 5,220,427.63
  5. Step 5: Solve for x
    x = 5,220,427.63/3,154.71
  6. Step 6: Final answer
    x = 1,654.80

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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.