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Finding the Fourth Proportional to 1,770.92, 2,445.12 and 1,273.71

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Solution

The fourth proportional to 1,770.92, 2,445.12 and 1,273.71 is: 1,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.92 : 2,445.12 = 1,273.71 : x
  2. Step 2: Convert to fraction form
    1,770.92/2,445.12 = 1,273.71/x
  3. Step 3: Cross multiply
    1,770.92x = 2,445.12 × 1,273.71
  4. Step 4: Simplify right side
    1,770.92x = 3,114,373.80
  5. Step 5: Solve for x
    x = 3,114,373.80/1,770.92
  6. Step 6: Final answer
    x = 1,758.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.