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Finding the Fourth Proportional to 2,078.99, 2,864.53 and 1,518.88

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Solution

The fourth proportional to 2,078.99, 2,864.53 and 1,518.88 is: 2,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.99 : 2,864.53 = 1,518.88 : x
  2. Step 2: Convert to fraction form
    2,078.99/2,864.53 = 1,518.88/x
  3. Step 3: Cross multiply
    2,078.99x = 2,864.53 × 1,518.88
  4. Step 4: Simplify right side
    2,078.99x = 4,350,877.33
  5. Step 5: Solve for x
    x = 4,350,877.33/2,078.99
  6. Step 6: Final answer
    x = 2,092.78

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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.