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Finding the Fourth Proportional to 2,760.96, 4,142.88 and 1,300.20

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Solution

The fourth proportional to 2,760.96, 4,142.88 and 1,300.20 is: 1,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.96 : 4,142.88 = 1,300.20 : x
  2. Step 2: Convert to fraction form
    2,760.96/4,142.88 = 1,300.20/x
  3. Step 3: Cross multiply
    2,760.96x = 4,142.88 × 1,300.20
  4. Step 4: Simplify right side
    2,760.96x = 5,386,572.58
  5. Step 5: Solve for x
    x = 5,386,572.58/2,760.96
  6. Step 6: Final answer
    x = 1,950.98

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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.