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Finding the Fourth Proportional to 2,100.69, 3,151.08 and 867.76

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Solution

The fourth proportional to 2,100.69, 3,151.08 and 867.76 is: 1,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.69 : 3,151.08 = 867.76 : x
  2. Step 2: Convert to fraction form
    2,100.69/3,151.08 = 867.76/x
  3. Step 3: Cross multiply
    2,100.69x = 3,151.08 × 867.76
  4. Step 4: Simplify right side
    2,100.69x = 2,734,373.30
  5. Step 5: Solve for x
    x = 2,734,373.30/2,100.69
  6. Step 6: Final answer
    x = 1,301.65

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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.