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Finding the Fourth Proportional to 1,211.84, 1,660.69 and 1,095.20

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Solution

The fourth proportional to 1,211.84, 1,660.69 and 1,095.20 is: 1,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.84 : 1,660.69 = 1,095.20 : x
  2. Step 2: Convert to fraction form
    1,211.84/1,660.69 = 1,095.20/x
  3. Step 3: Cross multiply
    1,211.84x = 1,660.69 × 1,095.20
  4. Step 4: Simplify right side
    1,211.84x = 1,818,787.69
  5. Step 5: Solve for x
    x = 1,818,787.69/1,211.84
  6. Step 6: Final answer
    x = 1,500.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.