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Finding the Fourth Proportional to 2,281.13, 3,421.69 and 742.13

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Solution

The fourth proportional to 2,281.13, 3,421.69 and 742.13 is: 1,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.13 : 3,421.69 = 742.13 : x
  2. Step 2: Convert to fraction form
    2,281.13/3,421.69 = 742.13/x
  3. Step 3: Cross multiply
    2,281.13x = 3,421.69 × 742.13
  4. Step 4: Simplify right side
    2,281.13x = 2,539,338.80
  5. Step 5: Solve for x
    x = 2,539,338.80/2,281.13
  6. Step 6: Final answer
    x = 1,113.19

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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.