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Finding the Fourth Proportional to 3,181.95, 4,772.93 and 1,332.57

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Solution

The fourth proportional to 3,181.95, 4,772.93 and 1,332.57 is: 1,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.95 : 4,772.93 = 1,332.57 : x
  2. Step 2: Convert to fraction form
    3,181.95/4,772.93 = 1,332.57/x
  3. Step 3: Cross multiply
    3,181.95x = 4,772.93 × 1,332.57
  4. Step 4: Simplify right side
    3,181.95x = 6,360,247.72
  5. Step 5: Solve for x
    x = 6,360,247.72/3,181.95
  6. Step 6: Final answer
    x = 1,998.85

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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.