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Finding the Fourth Proportional to 3,129.80, 4,697.06 and 2,140.25

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Solution

The fourth proportional to 3,129.80, 4,697.06 and 2,140.25 is: 3,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.80 : 4,697.06 = 2,140.25 : x
  2. Step 2: Convert to fraction form
    3,129.80/4,697.06 = 2,140.25/x
  3. Step 3: Cross multiply
    3,129.80x = 4,697.06 × 2,140.25
  4. Step 4: Simplify right side
    3,129.80x = 10,052,888.02
  5. Step 5: Solve for x
    x = 10,052,888.02/3,129.80
  6. Step 6: Final answer
    x = 3,211.99

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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.