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Finding the Fourth Proportional to 2,471.76, 3,707.29 and 828.27

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Solution

The fourth proportional to 2,471.76, 3,707.29 and 828.27 is: 1,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.76 : 3,707.29 = 828.27 : x
  2. Step 2: Convert to fraction form
    2,471.76/3,707.29 = 828.27/x
  3. Step 3: Cross multiply
    2,471.76x = 3,707.29 × 828.27
  4. Step 4: Simplify right side
    2,471.76x = 3,070,637.09
  5. Step 5: Solve for x
    x = 3,070,637.09/2,471.76
  6. Step 6: Final answer
    x = 1,242.29

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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.