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Finding the Fourth Proportional to 1,504.91, 2,079.38 and 1,242.47

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Solution

The fourth proportional to 1,504.91, 2,079.38 and 1,242.47 is: 1,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.91 : 2,079.38 = 1,242.47 : x
  2. Step 2: Convert to fraction form
    1,504.91/2,079.38 = 1,242.47/x
  3. Step 3: Cross multiply
    1,504.91x = 2,079.38 × 1,242.47
  4. Step 4: Simplify right side
    1,504.91x = 2,583,575.57
  5. Step 5: Solve for x
    x = 2,583,575.57/1,504.91
  6. Step 6: Final answer
    x = 1,716.76

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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.