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Finding the Fourth Proportional to 2,353.76, 3,207.68 and 2,345.12

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Solution

The fourth proportional to 2,353.76, 3,207.68 and 2,345.12 is: 3,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.76 : 3,207.68 = 2,345.12 : x
  2. Step 2: Convert to fraction form
    2,353.76/3,207.68 = 2,345.12/x
  3. Step 3: Cross multiply
    2,353.76x = 3,207.68 × 2,345.12
  4. Step 4: Simplify right side
    2,353.76x = 7,522,394.52
  5. Step 5: Solve for x
    x = 7,522,394.52/2,353.76
  6. Step 6: Final answer
    x = 3,195.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.