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Finding the Fourth Proportional to 2,060.80, 2,842.92 and 1,500.40

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Solution

The fourth proportional to 2,060.80, 2,842.92 and 1,500.40 is: 2,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.80 : 2,842.92 = 1,500.40 : x
  2. Step 2: Convert to fraction form
    2,060.80/2,842.92 = 1,500.40/x
  3. Step 3: Cross multiply
    2,060.80x = 2,842.92 × 1,500.40
  4. Step 4: Simplify right side
    2,060.80x = 4,265,517.17
  5. Step 5: Solve for x
    x = 4,265,517.17/2,060.80
  6. Step 6: Final answer
    x = 2,069.84

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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.