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Finding the Fourth Proportional to 2,523.12, 3,775.68 and 2,202

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Solution

The fourth proportional to 2,523.12, 3,775.68 and 2,202 is: 3,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.12 : 3,775.68 = 2,202 : x
  2. Step 2: Convert to fraction form
    2,523.12/3,775.68 = 2,202/x
  3. Step 3: Cross multiply
    2,523.12x = 3,775.68 × 2,202
  4. Step 4: Simplify right side
    2,523.12x = 8,314,047.36
  5. Step 5: Solve for x
    x = 8,314,047.36/2,523.12
  6. Step 6: Final answer
    x = 3,295.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.