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Finding the Fourth Proportional to 3,102.50, 4,656.79 and 2,524.16

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Solution

The fourth proportional to 3,102.50, 4,656.79 and 2,524.16 is: 3,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.50 : 4,656.79 = 2,524.16 : x
  2. Step 2: Convert to fraction form
    3,102.50/4,656.79 = 2,524.16/x
  3. Step 3: Cross multiply
    3,102.50x = 4,656.79 × 2,524.16
  4. Step 4: Simplify right side
    3,102.50x = 11,754,497.84
  5. Step 5: Solve for x
    x = 11,754,497.84/3,102.50
  6. Step 6: Final answer
    x = 3,788.72

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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.