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Finding the Fourth Proportional to 2,002.60, 3,000.30 and 1,232.20

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Solution

The fourth proportional to 2,002.60, 3,000.30 and 1,232.20 is: 1,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.60 : 3,000.30 = 1,232.20 : x
  2. Step 2: Convert to fraction form
    2,002.60/3,000.30 = 1,232.20/x
  3. Step 3: Cross multiply
    2,002.60x = 3,000.30 × 1,232.20
  4. Step 4: Simplify right side
    2,002.60x = 3,696,969.66
  5. Step 5: Solve for x
    x = 3,696,969.66/2,002.60
  6. Step 6: Final answer
    x = 1,846.08

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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.