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Finding the Fourth Proportional to 1,693.64, 2,542.06 and 924.68

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Solution

The fourth proportional to 1,693.64, 2,542.06 and 924.68 is: 1,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.64 : 2,542.06 = 924.68 : x
  2. Step 2: Convert to fraction form
    1,693.64/2,542.06 = 924.68/x
  3. Step 3: Cross multiply
    1,693.64x = 2,542.06 × 924.68
  4. Step 4: Simplify right side
    1,693.64x = 2,350,592.04
  5. Step 5: Solve for x
    x = 2,350,592.04/1,693.64
  6. Step 6: Final answer
    x = 1,387.89

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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.