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Finding the Fourth Proportional to 1,654.12, 2,282.70 and 1,033

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Solution

The fourth proportional to 1,654.12, 2,282.70 and 1,033 is: 1,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.12 : 2,282.70 = 1,033 : x
  2. Step 2: Convert to fraction form
    1,654.12/2,282.70 = 1,033/x
  3. Step 3: Cross multiply
    1,654.12x = 2,282.70 × 1,033
  4. Step 4: Simplify right side
    1,654.12x = 2,358,029.10
  5. Step 5: Solve for x
    x = 2,358,029.10/1,654.12
  6. Step 6: Final answer
    x = 1,425.55

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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.