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Finding the Fourth Proportional to 2,524.68, 3,787.02 and 2,364.30

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Solution

The fourth proportional to 2,524.68, 3,787.02 and 2,364.30 is: 3,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.68 : 3,787.02 = 2,364.30 : x
  2. Step 2: Convert to fraction form
    2,524.68/3,787.02 = 2,364.30/x
  3. Step 3: Cross multiply
    2,524.68x = 3,787.02 × 2,364.30
  4. Step 4: Simplify right side
    2,524.68x = 8,953,651.39
  5. Step 5: Solve for x
    x = 8,953,651.39/2,524.68
  6. Step 6: Final answer
    x = 3,546.45

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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.