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Finding the Fourth Proportional to 3,280, 4,527.12 and 2,038.72

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Solution

The fourth proportional to 3,280, 4,527.12 and 2,038.72 is: 2,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280 : 4,527.12 = 2,038.72 : x
  2. Step 2: Convert to fraction form
    3,280/4,527.12 = 2,038.72/x
  3. Step 3: Cross multiply
    3,280x = 4,527.12 × 2,038.72
  4. Step 4: Simplify right side
    3,280x = 9,229,530.09
  5. Step 5: Solve for x
    x = 9,229,530.09/3,280
  6. Step 6: Final answer
    x = 2,813.88

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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.