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Finding the Fourth Proportional to 2,275.20, 3,404.16 and 1,541.16

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Solution

The fourth proportional to 2,275.20, 3,404.16 and 1,541.16 is: 2,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.20 : 3,404.16 = 1,541.16 : x
  2. Step 2: Convert to fraction form
    2,275.20/3,404.16 = 1,541.16/x
  3. Step 3: Cross multiply
    2,275.20x = 3,404.16 × 1,541.16
  4. Step 4: Simplify right side
    2,275.20x = 5,246,355.23
  5. Step 5: Solve for x
    x = 5,246,355.23/2,275.20
  6. Step 6: Final answer
    x = 2,305.89

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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.