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Finding the Fourth Proportional to 2,330.67, 3,493.56 and 1,097.10

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Solution

The fourth proportional to 2,330.67, 3,493.56 and 1,097.10 is: 1,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.67 : 3,493.56 = 1,097.10 : x
  2. Step 2: Convert to fraction form
    2,330.67/3,493.56 = 1,097.10/x
  3. Step 3: Cross multiply
    2,330.67x = 3,493.56 × 1,097.10
  4. Step 4: Simplify right side
    2,330.67x = 3,832,784.68
  5. Step 5: Solve for x
    x = 3,832,784.68/2,330.67
  6. Step 6: Final answer
    x = 1,644.50

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Why These Related Problems?

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