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Finding the Fourth Proportional to 2,264.52, 3,126.36 and 1,732.40

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Solution

The fourth proportional to 2,264.52, 3,126.36 and 1,732.40 is: 2,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.52 : 3,126.36 = 1,732.40 : x
  2. Step 2: Convert to fraction form
    2,264.52/3,126.36 = 1,732.40/x
  3. Step 3: Cross multiply
    2,264.52x = 3,126.36 × 1,732.40
  4. Step 4: Simplify right side
    2,264.52x = 5,416,106.06
  5. Step 5: Solve for x
    x = 5,416,106.06/2,264.52
  6. Step 6: Final answer
    x = 2,391.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.