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Finding the Fourth Proportional to 2,023.69, 2,793.18 and 1,434.41

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Solution

The fourth proportional to 2,023.69, 2,793.18 and 1,434.41 is: 1,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.69 : 2,793.18 = 1,434.41 : x
  2. Step 2: Convert to fraction form
    2,023.69/2,793.18 = 1,434.41/x
  3. Step 3: Cross multiply
    2,023.69x = 2,793.18 × 1,434.41
  4. Step 4: Simplify right side
    2,023.69x = 4,006,565.32
  5. Step 5: Solve for x
    x = 4,006,565.32/2,023.69
  6. Step 6: Final answer
    x = 1,979.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.