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Finding the Fourth Proportional to 2,132.25, 2,942.42 and 1,188.01

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Solution

The fourth proportional to 2,132.25, 2,942.42 and 1,188.01 is: 1,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.25 : 2,942.42 = 1,188.01 : x
  2. Step 2: Convert to fraction form
    2,132.25/2,942.42 = 1,188.01/x
  3. Step 3: Cross multiply
    2,132.25x = 2,942.42 × 1,188.01
  4. Step 4: Simplify right side
    2,132.25x = 3,495,624.38
  5. Step 5: Solve for x
    x = 3,495,624.38/2,132.25
  6. Step 6: Final answer
    x = 1,639.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.