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Finding the Fourth Proportional to 2,615.36, 3,922.96 and 971.24

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Solution

The fourth proportional to 2,615.36, 3,922.96 and 971.24 is: 1,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.36 : 3,922.96 = 971.24 : x
  2. Step 2: Convert to fraction form
    2,615.36/3,922.96 = 971.24/x
  3. Step 3: Cross multiply
    2,615.36x = 3,922.96 × 971.24
  4. Step 4: Simplify right side
    2,615.36x = 3,810,135.67
  5. Step 5: Solve for x
    x = 3,810,135.67/2,615.36
  6. Step 6: Final answer
    x = 1,456.83

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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.