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Finding the Fourth Proportional to 2,541.57, 3,812.35 and 982.32

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Solution

The fourth proportional to 2,541.57, 3,812.35 and 982.32 is: 1,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.57 : 3,812.35 = 982.32 : x
  2. Step 2: Convert to fraction form
    2,541.57/3,812.35 = 982.32/x
  3. Step 3: Cross multiply
    2,541.57x = 3,812.35 × 982.32
  4. Step 4: Simplify right side
    2,541.57x = 3,744,947.65
  5. Step 5: Solve for x
    x = 3,744,947.65/2,541.57
  6. Step 6: Final answer
    x = 1,473.48

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.