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Finding the Fourth Proportional to 2,330.34, 3,493.17 and 1,290.80

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Solution

The fourth proportional to 2,330.34, 3,493.17 and 1,290.80 is: 1,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.34 : 3,493.17 = 1,290.80 : x
  2. Step 2: Convert to fraction form
    2,330.34/3,493.17 = 1,290.80/x
  3. Step 3: Cross multiply
    2,330.34x = 3,493.17 × 1,290.80
  4. Step 4: Simplify right side
    2,330.34x = 4,508,966.37
  5. Step 5: Solve for x
    x = 4,508,966.37/2,330.34
  6. Step 6: Final answer
    x = 1,934.90

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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.