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Finding the Fourth Proportional to 2,784.79, 4,177.18 and 1,142.49

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Solution

The fourth proportional to 2,784.79, 4,177.18 and 1,142.49 is: 1,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.79 : 4,177.18 = 1,142.49 : x
  2. Step 2: Convert to fraction form
    2,784.79/4,177.18 = 1,142.49/x
  3. Step 3: Cross multiply
    2,784.79x = 4,177.18 × 1,142.49
  4. Step 4: Simplify right side
    2,784.79x = 4,772,377.18
  5. Step 5: Solve for x
    x = 4,772,377.18/2,784.79
  6. Step 6: Final answer
    x = 1,713.73

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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.