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Finding the Fourth Proportional to 2,100.42, 3,148.32 and 867.16

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Solution

The fourth proportional to 2,100.42, 3,148.32 and 867.16 is: 1,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.42 : 3,148.32 = 867.16 : x
  2. Step 2: Convert to fraction form
    2,100.42/3,148.32 = 867.16/x
  3. Step 3: Cross multiply
    2,100.42x = 3,148.32 × 867.16
  4. Step 4: Simplify right side
    2,100.42x = 2,730,104.36
  5. Step 5: Solve for x
    x = 2,730,104.36/2,100.42
  6. Step 6: Final answer
    x = 1,299.79

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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.