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Finding the Fourth Proportional to 2,921.29, 4,382.51 and 947.41

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Solution

The fourth proportional to 2,921.29, 4,382.51 and 947.41 is: 1,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.29 : 4,382.51 = 947.41 : x
  2. Step 2: Convert to fraction form
    2,921.29/4,382.51 = 947.41/x
  3. Step 3: Cross multiply
    2,921.29x = 4,382.51 × 947.41
  4. Step 4: Simplify right side
    2,921.29x = 4,152,033.80
  5. Step 5: Solve for x
    x = 4,152,033.80/2,921.29
  6. Step 6: Final answer
    x = 1,421.30

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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.