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Finding the Fourth Proportional to 1,694.34, 2,337.30 and 1,031.04

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Solution

The fourth proportional to 1,694.34, 2,337.30 and 1,031.04 is: 1,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.34 : 2,337.30 = 1,031.04 : x
  2. Step 2: Convert to fraction form
    1,694.34/2,337.30 = 1,031.04/x
  3. Step 3: Cross multiply
    1,694.34x = 2,337.30 × 1,031.04
  4. Step 4: Simplify right side
    1,694.34x = 2,409,849.79
  5. Step 5: Solve for x
    x = 2,409,849.79/1,694.34
  6. Step 6: Final answer
    x = 1,422.29

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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.