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Finding the Fourth Proportional to 2,287.76, 3,156.92 and 1,293.14

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Solution

The fourth proportional to 2,287.76, 3,156.92 and 1,293.14 is: 1,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.76 : 3,156.92 = 1,293.14 : x
  2. Step 2: Convert to fraction form
    2,287.76/3,156.92 = 1,293.14/x
  3. Step 3: Cross multiply
    2,287.76x = 3,156.92 × 1,293.14
  4. Step 4: Simplify right side
    2,287.76x = 4,082,339.53
  5. Step 5: Solve for x
    x = 4,082,339.53/2,287.76
  6. Step 6: Final answer
    x = 1,784.43

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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.