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Finding the Fourth Proportional to 1,641.52, 2,264 and 1,082.08

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Solution

The fourth proportional to 1,641.52, 2,264 and 1,082.08 is: 1,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.52 : 2,264 = 1,082.08 : x
  2. Step 2: Convert to fraction form
    1,641.52/2,264 = 1,082.08/x
  3. Step 3: Cross multiply
    1,641.52x = 2,264 × 1,082.08
  4. Step 4: Simplify right side
    1,641.52x = 2,449,829.12
  5. Step 5: Solve for x
    x = 2,449,829.12/1,641.52
  6. Step 6: Final answer
    x = 1,492.42

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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.