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Finding the Fourth Proportional to 1,694.12, 2,337.05 and 1,134.71

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Solution

The fourth proportional to 1,694.12, 2,337.05 and 1,134.71 is: 1,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.12 : 2,337.05 = 1,134.71 : x
  2. Step 2: Convert to fraction form
    1,694.12/2,337.05 = 1,134.71/x
  3. Step 3: Cross multiply
    1,694.12x = 2,337.05 × 1,134.71
  4. Step 4: Simplify right side
    1,694.12x = 2,651,856.65
  5. Step 5: Solve for x
    x = 2,651,856.65/1,694.12
  6. Step 6: Final answer
    x = 1,565.33

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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.