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Finding the Fourth Proportional to 1,694.81, 2,339.55 and 1,031.90

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Solution

The fourth proportional to 1,694.81, 2,339.55 and 1,031.90 is: 1,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.81 : 2,339.55 = 1,031.90 : x
  2. Step 2: Convert to fraction form
    1,694.81/2,339.55 = 1,031.90/x
  3. Step 3: Cross multiply
    1,694.81x = 2,339.55 × 1,031.90
  4. Step 4: Simplify right side
    1,694.81x = 2,414,181.65
  5. Step 5: Solve for x
    x = 2,414,181.65/1,694.81
  6. Step 6: Final answer
    x = 1,424.46

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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.