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Finding the Fourth Proportional to 2,284.97, 3,152.16 and 1,654.47

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Solution

The fourth proportional to 2,284.97, 3,152.16 and 1,654.47 is: 2,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.97 : 3,152.16 = 1,654.47 : x
  2. Step 2: Convert to fraction form
    2,284.97/3,152.16 = 1,654.47/x
  3. Step 3: Cross multiply
    2,284.97x = 3,152.16 × 1,654.47
  4. Step 4: Simplify right side
    2,284.97x = 5,215,154.16
  5. Step 5: Solve for x
    x = 5,215,154.16/2,284.97
  6. Step 6: Final answer
    x = 2,282.38

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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.