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Finding the Fourth Proportional to 2,524.66, 3,788.25 and 1,597.66

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Solution

The fourth proportional to 2,524.66, 3,788.25 and 1,597.66 is: 2,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.66 : 3,788.25 = 1,597.66 : x
  2. Step 2: Convert to fraction form
    2,524.66/3,788.25 = 1,597.66/x
  3. Step 3: Cross multiply
    2,524.66x = 3,788.25 × 1,597.66
  4. Step 4: Simplify right side
    2,524.66x = 6,052,335.50
  5. Step 5: Solve for x
    x = 6,052,335.50/2,524.66
  6. Step 6: Final answer
    x = 2,397.29

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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.