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Finding the Fourth Proportional to 2,471.85, 3,707.84 and 828.09

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Solution

The fourth proportional to 2,471.85, 3,707.84 and 828.09 is: 1,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.85 : 3,707.84 = 828.09 : x
  2. Step 2: Convert to fraction form
    2,471.85/3,707.84 = 828.09/x
  3. Step 3: Cross multiply
    2,471.85x = 3,707.84 × 828.09
  4. Step 4: Simplify right side
    2,471.85x = 3,070,425.23
  5. Step 5: Solve for x
    x = 3,070,425.23/2,471.85
  6. Step 6: Final answer
    x = 1,242.16

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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.