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Finding the Fourth Proportional to 2,921.34, 4,382.67 and 841.36

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Solution

The fourth proportional to 2,921.34, 4,382.67 and 841.36 is: 1,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.34 : 4,382.67 = 841.36 : x
  2. Step 2: Convert to fraction form
    2,921.34/4,382.67 = 841.36/x
  3. Step 3: Cross multiply
    2,921.34x = 4,382.67 × 841.36
  4. Step 4: Simplify right side
    2,921.34x = 3,687,381.32
  5. Step 5: Solve for x
    x = 3,687,381.32/2,921.34
  6. Step 6: Final answer
    x = 1,262.22

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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.