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Finding the Fourth Proportional to 1,318.18, 1,977.11 and 1,100.19

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Solution

The fourth proportional to 1,318.18, 1,977.11 and 1,100.19 is: 1,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.18 : 1,977.11 = 1,100.19 : x
  2. Step 2: Convert to fraction form
    1,318.18/1,977.11 = 1,100.19/x
  3. Step 3: Cross multiply
    1,318.18x = 1,977.11 × 1,100.19
  4. Step 4: Simplify right side
    1,318.18x = 2,175,196.65
  5. Step 5: Solve for x
    x = 2,175,196.65/1,318.18
  6. Step 6: Final answer
    x = 1,650.15

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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.