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Finding the Fourth Proportional to 1,228.45, 1,841.10 and 818.39

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Solution

The fourth proportional to 1,228.45, 1,841.10 and 818.39 is: 1,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.45 : 1,841.10 = 818.39 : x
  2. Step 2: Convert to fraction form
    1,228.45/1,841.10 = 818.39/x
  3. Step 3: Cross multiply
    1,228.45x = 1,841.10 × 818.39
  4. Step 4: Simplify right side
    1,228.45x = 1,506,737.83
  5. Step 5: Solve for x
    x = 1,506,737.83/1,228.45
  6. Step 6: Final answer
    x = 1,226.54

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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.