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Finding the Fourth Proportional to 2,079.60, 3,119.37 and 618.76

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Solution

The fourth proportional to 2,079.60, 3,119.37 and 618.76 is: 928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.60 : 3,119.37 = 618.76 : x
  2. Step 2: Convert to fraction form
    2,079.60/3,119.37 = 618.76/x
  3. Step 3: Cross multiply
    2,079.60x = 3,119.37 × 618.76
  4. Step 4: Simplify right side
    2,079.60x = 1,930,141.38
  5. Step 5: Solve for x
    x = 1,930,141.38/2,079.60
  6. Step 6: Final answer
    x = 928.13

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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.