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Finding the Fourth Proportional to 1,462.74, 2,017.91 and 873.06

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Solution

The fourth proportional to 1,462.74, 2,017.91 and 873.06 is: 1,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.74 : 2,017.91 = 873.06 : x
  2. Step 2: Convert to fraction form
    1,462.74/2,017.91 = 873.06/x
  3. Step 3: Cross multiply
    1,462.74x = 2,017.91 × 873.06
  4. Step 4: Simplify right side
    1,462.74x = 1,761,752.14
  5. Step 5: Solve for x
    x = 1,761,752.14/1,462.74
  6. Step 6: Final answer
    x = 1,204.42

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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.