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Finding the Fourth Proportional to 2,275.44, 3,411.76 and 887.68

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Solution

The fourth proportional to 2,275.44, 3,411.76 and 887.68 is: 1,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.44 : 3,411.76 = 887.68 : x
  2. Step 2: Convert to fraction form
    2,275.44/3,411.76 = 887.68/x
  3. Step 3: Cross multiply
    2,275.44x = 3,411.76 × 887.68
  4. Step 4: Simplify right side
    2,275.44x = 3,028,551.12
  5. Step 5: Solve for x
    x = 3,028,551.12/2,275.44
  6. Step 6: Final answer
    x = 1,330.97

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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.