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Finding the Fourth Proportional to 1,694.50, 2,337.59 and 1,064.71

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Solution

The fourth proportional to 1,694.50, 2,337.59 and 1,064.71 is: 1,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.50 : 2,337.59 = 1,064.71 : x
  2. Step 2: Convert to fraction form
    1,694.50/2,337.59 = 1,064.71/x
  3. Step 3: Cross multiply
    1,694.50x = 2,337.59 × 1,064.71
  4. Step 4: Simplify right side
    1,694.50x = 2,488,838.44
  5. Step 5: Solve for x
    x = 2,488,838.44/1,694.50
  6. Step 6: Final answer
    x = 1,468.78

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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.