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Finding the Fourth Proportional to 2,330.79, 3,494.21 and 1,031.55

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Solution

The fourth proportional to 2,330.79, 3,494.21 and 1,031.55 is: 1,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.79 : 3,494.21 = 1,031.55 : x
  2. Step 2: Convert to fraction form
    2,330.79/3,494.21 = 1,031.55/x
  3. Step 3: Cross multiply
    2,330.79x = 3,494.21 × 1,031.55
  4. Step 4: Simplify right side
    2,330.79x = 3,604,447.17
  5. Step 5: Solve for x
    x = 3,604,447.17/2,330.79
  6. Step 6: Final answer
    x = 1,546.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.