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Finding the Fourth Proportional to 2,680.56, 4,022 and 1,038.28

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Solution

The fourth proportional to 2,680.56, 4,022 and 1,038.28 is: 1,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.56 : 4,022 = 1,038.28 : x
  2. Step 2: Convert to fraction form
    2,680.56/4,022 = 1,038.28/x
  3. Step 3: Cross multiply
    2,680.56x = 4,022 × 1,038.28
  4. Step 4: Simplify right side
    2,680.56x = 4,175,962.16
  5. Step 5: Solve for x
    x = 4,175,962.16/2,680.56
  6. Step 6: Final answer
    x = 1,557.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.