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Finding the Fourth Proportional to 2,753.88, 4,126.92 and 1,643.76

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Solution

The fourth proportional to 2,753.88, 4,126.92 and 1,643.76 is: 2,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.88 : 4,126.92 = 1,643.76 : x
  2. Step 2: Convert to fraction form
    2,753.88/4,126.92 = 1,643.76/x
  3. Step 3: Cross multiply
    2,753.88x = 4,126.92 × 1,643.76
  4. Step 4: Simplify right side
    2,753.88x = 6,783,666.02
  5. Step 5: Solve for x
    x = 6,783,666.02/2,753.88
  6. Step 6: Final answer
    x = 2,463.31

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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.