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Finding the Fourth Proportional to 2,274.38, 3,411.06 and 887.24

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Solution

The fourth proportional to 2,274.38, 3,411.06 and 887.24 is: 1,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.38 : 3,411.06 = 887.24 : x
  2. Step 2: Convert to fraction form
    2,274.38/3,411.06 = 887.24/x
  3. Step 3: Cross multiply
    2,274.38x = 3,411.06 × 887.24
  4. Step 4: Simplify right side
    2,274.38x = 3,026,428.87
  5. Step 5: Solve for x
    x = 3,026,428.87/2,274.38
  6. Step 6: Final answer
    x = 1,330.66

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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.