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Finding the Fourth Proportional to 1,228.10, 1,842.15 and 742.10

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Solution

The fourth proportional to 1,228.10, 1,842.15 and 742.10 is: 1,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.10 : 1,842.15 = 742.10 : x
  2. Step 2: Convert to fraction form
    1,228.10/1,842.15 = 742.10/x
  3. Step 3: Cross multiply
    1,228.10x = 1,842.15 × 742.10
  4. Step 4: Simplify right side
    1,228.10x = 1,367,059.52
  5. Step 5: Solve for x
    x = 1,367,059.52/1,228.10
  6. Step 6: Final answer
    x = 1,113.15

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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.