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Finding the Fourth Proportional to 1,228.59, 1,841.40 and 1,105.47

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Solution

The fourth proportional to 1,228.59, 1,841.40 and 1,105.47 is: 1,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.59 : 1,841.40 = 1,105.47 : x
  2. Step 2: Convert to fraction form
    1,228.59/1,841.40 = 1,105.47/x
  3. Step 3: Cross multiply
    1,228.59x = 1,841.40 × 1,105.47
  4. Step 4: Simplify right side
    1,228.59x = 2,035,612.46
  5. Step 5: Solve for x
    x = 2,035,612.46/1,228.59
  6. Step 6: Final answer
    x = 1,656.87

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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.