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Finding the Fourth Proportional to 2,101.92, 3,154.19 and 869.10

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Solution

The fourth proportional to 2,101.92, 3,154.19 and 869.10 is: 1,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.92 : 3,154.19 = 869.10 : x
  2. Step 2: Convert to fraction form
    2,101.92/3,154.19 = 869.10/x
  3. Step 3: Cross multiply
    2,101.92x = 3,154.19 × 869.10
  4. Step 4: Simplify right side
    2,101.92x = 2,741,302.18
  5. Step 5: Solve for x
    x = 2,741,302.18/2,101.92
  6. Step 6: Final answer
    x = 1,304.19

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1.5x scale

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.