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Finding the Fourth Proportional to 3,177.16, 4,763.81 and 1,421.84

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Solution

The fourth proportional to 3,177.16, 4,763.81 and 1,421.84 is: 2,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.16 : 4,763.81 = 1,421.84 : x
  2. Step 2: Convert to fraction form
    3,177.16/4,763.81 = 1,421.84/x
  3. Step 3: Cross multiply
    3,177.16x = 4,763.81 × 1,421.84
  4. Step 4: Simplify right side
    3,177.16x = 6,773,375.61
  5. Step 5: Solve for x
    x = 6,773,375.61/3,177.16
  6. Step 6: Final answer
    x = 2,131.90

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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.