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Finding the Fourth Proportional to 2,841.70, 4,262.55 and 1,109.20

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Solution

The fourth proportional to 2,841.70, 4,262.55 and 1,109.20 is: 1,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.70 : 4,262.55 = 1,109.20 : x
  2. Step 2: Convert to fraction form
    2,841.70/4,262.55 = 1,109.20/x
  3. Step 3: Cross multiply
    2,841.70x = 4,262.55 × 1,109.20
  4. Step 4: Simplify right side
    2,841.70x = 4,728,020.46
  5. Step 5: Solve for x
    x = 4,728,020.46/2,841.70
  6. Step 6: Final answer
    x = 1,663.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.