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Finding the Fourth Proportional to 2,830.80, 4,254.30 and 2,474.40

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Solution

The fourth proportional to 2,830.80, 4,254.30 and 2,474.40 is: 3,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.80 : 4,254.30 = 2,474.40 : x
  2. Step 2: Convert to fraction form
    2,830.80/4,254.30 = 2,474.40/x
  3. Step 3: Cross multiply
    2,830.80x = 4,254.30 × 2,474.40
  4. Step 4: Simplify right side
    2,830.80x = 10,526,839.92
  5. Step 5: Solve for x
    x = 10,526,839.92/2,830.80
  6. Step 6: Final answer
    x = 3,718.68

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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.