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Finding the Fourth Proportional to 2,330, 3,493.56 and 1,097.72

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Solution

The fourth proportional to 2,330, 3,493.56 and 1,097.72 is: 1,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330 : 3,493.56 = 1,097.72 : x
  2. Step 2: Convert to fraction form
    2,330/3,493.56 = 1,097.72/x
  3. Step 3: Cross multiply
    2,330x = 3,493.56 × 1,097.72
  4. Step 4: Simplify right side
    2,330x = 3,834,950.68
  5. Step 5: Solve for x
    x = 3,834,950.68/2,330
  6. Step 6: Final answer
    x = 1,645.90

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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.