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Finding the Fourth Proportional to 2,068.28, 2,854.14 and 1,136.72

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Solution

The fourth proportional to 2,068.28, 2,854.14 and 1,136.72 is: 1,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.28 : 2,854.14 = 1,136.72 : x
  2. Step 2: Convert to fraction form
    2,068.28/2,854.14 = 1,136.72/x
  3. Step 3: Cross multiply
    2,068.28x = 2,854.14 × 1,136.72
  4. Step 4: Simplify right side
    2,068.28x = 3,244,358.02
  5. Step 5: Solve for x
    x = 3,244,358.02/2,068.28
  6. Step 6: Final answer
    x = 1,568.63

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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.