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Finding the Fourth Proportional to 2,541.93, 3,813.05 and 982.18

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Solution

The fourth proportional to 2,541.93, 3,813.05 and 982.18 is: 1,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.93 : 3,813.05 = 982.18 : x
  2. Step 2: Convert to fraction form
    2,541.93/3,813.05 = 982.18/x
  3. Step 3: Cross multiply
    2,541.93x = 3,813.05 × 982.18
  4. Step 4: Simplify right side
    2,541.93x = 3,745,084.46
  5. Step 5: Solve for x
    x = 3,745,084.46/2,541.93
  6. Step 6: Final answer
    x = 1,473.32

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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.