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Finding the Fourth Proportional to 2,952.56, 4,430.34 and 2,263.64

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Solution

The fourth proportional to 2,952.56, 4,430.34 and 2,263.64 is: 3,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.56 : 4,430.34 = 2,263.64 : x
  2. Step 2: Convert to fraction form
    2,952.56/4,430.34 = 2,263.64/x
  3. Step 3: Cross multiply
    2,952.56x = 4,430.34 × 2,263.64
  4. Step 4: Simplify right side
    2,952.56x = 10,028,694.84
  5. Step 5: Solve for x
    x = 10,028,694.84/2,952.56
  6. Step 6: Final answer
    x = 3,396.61

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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.