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Finding the Fourth Proportional to 2,023.79, 2,793.49 and 1,742.92

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Solution

The fourth proportional to 2,023.79, 2,793.49 and 1,742.92 is: 2,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.79 : 2,793.49 = 1,742.92 : x
  2. Step 2: Convert to fraction form
    2,023.79/2,793.49 = 1,742.92/x
  3. Step 3: Cross multiply
    2,023.79x = 2,793.49 × 1,742.92
  4. Step 4: Simplify right side
    2,023.79x = 4,868,818.25
  5. Step 5: Solve for x
    x = 4,868,818.25/2,023.79
  6. Step 6: Final answer
    x = 2,405.80

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1.5x scale

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.