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Finding the Fourth Proportional to 2,207.56, 3,046.14 and 1,275.88

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Solution

The fourth proportional to 2,207.56, 3,046.14 and 1,275.88 is: 1,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.56 : 3,046.14 = 1,275.88 : x
  2. Step 2: Convert to fraction form
    2,207.56/3,046.14 = 1,275.88/x
  3. Step 3: Cross multiply
    2,207.56x = 3,046.14 × 1,275.88
  4. Step 4: Simplify right side
    2,207.56x = 3,886,509.10
  5. Step 5: Solve for x
    x = 3,886,509.10/2,207.56
  6. Step 6: Final answer
    x = 1,760.55

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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.