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Finding the Fourth Proportional to 3,126.80, 4,314.48 and 1,800.20

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Solution

The fourth proportional to 3,126.80, 4,314.48 and 1,800.20 is: 2,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.80 : 4,314.48 = 1,800.20 : x
  2. Step 2: Convert to fraction form
    3,126.80/4,314.48 = 1,800.20/x
  3. Step 3: Cross multiply
    3,126.80x = 4,314.48 × 1,800.20
  4. Step 4: Simplify right side
    3,126.80x = 7,766,926.90
  5. Step 5: Solve for x
    x = 7,766,926.90/3,126.80
  6. Step 6: Final answer
    x = 2,483.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.