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Finding the Fourth Proportional to 2,275.17, 3,414.32 and 888.53

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Solution

The fourth proportional to 2,275.17, 3,414.32 and 888.53 is: 1,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.17 : 3,414.32 = 888.53 : x
  2. Step 2: Convert to fraction form
    2,275.17/3,414.32 = 888.53/x
  3. Step 3: Cross multiply
    2,275.17x = 3,414.32 × 888.53
  4. Step 4: Simplify right side
    2,275.17x = 3,033,704.24
  5. Step 5: Solve for x
    x = 3,033,704.24/2,275.17
  6. Step 6: Final answer
    x = 1,333.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.