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Finding the Fourth Proportional to 2,308.40, 3,464.80 and 2,147.52

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Solution

The fourth proportional to 2,308.40, 3,464.80 and 2,147.52 is: 3,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.40 : 3,464.80 = 2,147.52 : x
  2. Step 2: Convert to fraction form
    2,308.40/3,464.80 = 2,147.52/x
  3. Step 3: Cross multiply
    2,308.40x = 3,464.80 × 2,147.52
  4. Step 4: Simplify right side
    2,308.40x = 7,440,727.30
  5. Step 5: Solve for x
    x = 7,440,727.30/2,308.40
  6. Step 6: Final answer
    x = 3,223.33

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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.