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Finding the Fourth Proportional to 2,570.79, 3,854.73 and 815.46

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Solution

The fourth proportional to 2,570.79, 3,854.73 and 815.46 is: 1,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.79 : 3,854.73 = 815.46 : x
  2. Step 2: Convert to fraction form
    2,570.79/3,854.73 = 815.46/x
  3. Step 3: Cross multiply
    2,570.79x = 3,854.73 × 815.46
  4. Step 4: Simplify right side
    2,570.79x = 3,143,378.13
  5. Step 5: Solve for x
    x = 3,143,378.13/2,570.79
  6. Step 6: Final answer
    x = 1,222.73

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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.