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Finding the Fourth Proportional to 1,228, 1,842 and 1,166.48

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Solution

The fourth proportional to 1,228, 1,842 and 1,166.48 is: 1,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228 : 1,842 = 1,166.48 : x
  2. Step 2: Convert to fraction form
    1,228/1,842 = 1,166.48/x
  3. Step 3: Cross multiply
    1,228x = 1,842 × 1,166.48
  4. Step 4: Simplify right side
    1,228x = 2,148,656.16
  5. Step 5: Solve for x
    x = 2,148,656.16/1,228
  6. Step 6: Final answer
    x = 1,749.72

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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.