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Finding the Fourth Proportional to 2,771.58, 4,156.54 and 1,016.17

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Solution

The fourth proportional to 2,771.58, 4,156.54 and 1,016.17 is: 1,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.58 : 4,156.54 = 1,016.17 : x
  2. Step 2: Convert to fraction form
    2,771.58/4,156.54 = 1,016.17/x
  3. Step 3: Cross multiply
    2,771.58x = 4,156.54 × 1,016.17
  4. Step 4: Simplify right side
    2,771.58x = 4,223,752.87
  5. Step 5: Solve for x
    x = 4,223,752.87/2,771.58
  6. Step 6: Final answer
    x = 1,523.95

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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.