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Finding the Fourth Proportional to 1,766.96, 2,437.32 and 1,270.27

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Solution

The fourth proportional to 1,766.96, 2,437.32 and 1,270.27 is: 1,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.96 : 2,437.32 = 1,270.27 : x
  2. Step 2: Convert to fraction form
    1,766.96/2,437.32 = 1,270.27/x
  3. Step 3: Cross multiply
    1,766.96x = 2,437.32 × 1,270.27
  4. Step 4: Simplify right side
    1,766.96x = 3,096,062.29
  5. Step 5: Solve for x
    x = 3,096,062.29/1,766.96
  6. Step 6: Final answer
    x = 1,752.20

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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.