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Finding the Fourth Proportional to 2,921.64, 4,382.52 and 841.80

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Solution

The fourth proportional to 2,921.64, 4,382.52 and 841.80 is: 1,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.64 : 4,382.52 = 841.80 : x
  2. Step 2: Convert to fraction form
    2,921.64/4,382.52 = 841.80/x
  3. Step 3: Cross multiply
    2,921.64x = 4,382.52 × 841.80
  4. Step 4: Simplify right side
    2,921.64x = 3,689,205.34
  5. Step 5: Solve for x
    x = 3,689,205.34/2,921.64
  6. Step 6: Final answer
    x = 1,262.72

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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.