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Finding the Fourth Proportional to 2,542.64, 3,812.16 and 981.34

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Solution

The fourth proportional to 2,542.64, 3,812.16 and 981.34 is: 1,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.64 : 3,812.16 = 981.34 : x
  2. Step 2: Convert to fraction form
    2,542.64/3,812.16 = 981.34/x
  3. Step 3: Cross multiply
    2,542.64x = 3,812.16 × 981.34
  4. Step 4: Simplify right side
    2,542.64x = 3,741,025.09
  5. Step 5: Solve for x
    x = 3,741,025.09/2,542.64
  6. Step 6: Final answer
    x = 1,471.32

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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.