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Finding the Fourth Proportional to 2,330.75, 3,494.99 and 1,097.12

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Solution

The fourth proportional to 2,330.75, 3,494.99 and 1,097.12 is: 1,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.75 : 3,494.99 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    2,330.75/3,494.99 = 1,097.12/x
  3. Step 3: Cross multiply
    2,330.75x = 3,494.99 × 1,097.12
  4. Step 4: Simplify right side
    2,330.75x = 3,834,417.94
  5. Step 5: Solve for x
    x = 3,834,417.94/2,330.75
  6. Step 6: Final answer
    x = 1,645.14

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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.