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Finding the Fourth Proportional to 2,275.76, 3,140.42 and 1,281.00

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Solution

The fourth proportional to 2,275.76, 3,140.42 and 1,281.00 is: 1,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.76 : 3,140.42 = 1,281.00 : x
  2. Step 2: Convert to fraction form
    2,275.76/3,140.42 = 1,281.00/x
  3. Step 3: Cross multiply
    2,275.76x = 3,140.42 × 1,281.00
  4. Step 4: Simplify right side
    2,275.76x = 4,022,883.39
  5. Step 5: Solve for x
    x = 4,022,883.39/2,275.76
  6. Step 6: Final answer
    x = 1,767.71

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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.