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Finding the Fourth Proportional to 2,721.72, 3,753.98 and 1,776.00

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Solution

The fourth proportional to 2,721.72, 3,753.98 and 1,776.00 is: 2,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.72 : 3,753.98 = 1,776.00 : x
  2. Step 2: Convert to fraction form
    2,721.72/3,753.98 = 1,776.00/x
  3. Step 3: Cross multiply
    2,721.72x = 3,753.98 × 1,776.00
  4. Step 4: Simplify right side
    2,721.72x = 6,667,045.27
  5. Step 5: Solve for x
    x = 6,667,045.27/2,721.72
  6. Step 6: Final answer
    x = 2,449.57

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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.