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Finding the Fourth Proportional to 2,155.06, 3,233.41 and 1,000.02

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Solution

The fourth proportional to 2,155.06, 3,233.41 and 1,000.02 is: 1,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.06 : 3,233.41 = 1,000.02 : x
  2. Step 2: Convert to fraction form
    2,155.06/3,233.41 = 1,000.02/x
  3. Step 3: Cross multiply
    2,155.06x = 3,233.41 × 1,000.02
  4. Step 4: Simplify right side
    2,155.06x = 3,233,474.67
  5. Step 5: Solve for x
    x = 3,233,474.67/2,155.06
  6. Step 6: Final answer
    x = 1,500.41

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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.