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Finding the Fourth Proportional to 2,541.64, 3,812.76 and 981.28

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Solution

The fourth proportional to 2,541.64, 3,812.76 and 981.28 is: 1,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.64 : 3,812.76 = 981.28 : x
  2. Step 2: Convert to fraction form
    2,541.64/3,812.76 = 981.28/x
  3. Step 3: Cross multiply
    2,541.64x = 3,812.76 × 981.28
  4. Step 4: Simplify right side
    2,541.64x = 3,741,385.13
  5. Step 5: Solve for x
    x = 3,741,385.13/2,541.64
  6. Step 6: Final answer
    x = 1,472.04

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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.