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Finding the Fourth Proportional to 2,346.52, 3,517.62 and 2,152.12

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Solution

The fourth proportional to 2,346.52, 3,517.62 and 2,152.12 is: 3,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.52 : 3,517.62 = 2,152.12 : x
  2. Step 2: Convert to fraction form
    2,346.52/3,517.62 = 2,152.12/x
  3. Step 3: Cross multiply
    2,346.52x = 3,517.62 × 2,152.12
  4. Step 4: Simplify right side
    2,346.52x = 7,570,340.35
  5. Step 5: Solve for x
    x = 7,570,340.35/2,346.52
  6. Step 6: Final answer
    x = 3,226.20

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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.