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Finding the Fourth Proportional to 1,271.74, 1,895.65 and 1,132.18

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Solution

The fourth proportional to 1,271.74, 1,895.65 and 1,132.18 is: 1,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.74 : 1,895.65 = 1,132.18 : x
  2. Step 2: Convert to fraction form
    1,271.74/1,895.65 = 1,132.18/x
  3. Step 3: Cross multiply
    1,271.74x = 1,895.65 × 1,132.18
  4. Step 4: Simplify right side
    1,271.74x = 2,146,217.02
  5. Step 5: Solve for x
    x = 2,146,217.02/1,271.74
  6. Step 6: Final answer
    x = 1,687.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.