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Finding the Fourth Proportional to 2,561.47, 3,843.06 and 918.49

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Solution

The fourth proportional to 2,561.47, 3,843.06 and 918.49 is: 1,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.47 : 3,843.06 = 918.49 : x
  2. Step 2: Convert to fraction form
    2,561.47/3,843.06 = 918.49/x
  3. Step 3: Cross multiply
    2,561.47x = 3,843.06 × 918.49
  4. Step 4: Simplify right side
    2,561.47x = 3,529,812.18
  5. Step 5: Solve for x
    x = 3,529,812.18/2,561.47
  6. Step 6: Final answer
    x = 1,378.04

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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.