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Finding the Fourth Proportional to 2,952.71, 4,423.83 and 2,777.10

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Solution

The fourth proportional to 2,952.71, 4,423.83 and 2,777.10 is: 4,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.71 : 4,423.83 = 2,777.10 : x
  2. Step 2: Convert to fraction form
    2,952.71/4,423.83 = 2,777.10/x
  3. Step 3: Cross multiply
    2,952.71x = 4,423.83 × 2,777.10
  4. Step 4: Simplify right side
    2,952.71x = 12,285,418.29
  5. Step 5: Solve for x
    x = 12,285,418.29/2,952.71
  6. Step 6: Final answer
    x = 4,160.73

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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.