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Finding the Fourth Proportional to 2,350.91, 3,527.78 and 964.89

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Solution

The fourth proportional to 2,350.91, 3,527.78 and 964.89 is: 1,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.91 : 3,527.78 = 964.89 : x
  2. Step 2: Convert to fraction form
    2,350.91/3,527.78 = 964.89/x
  3. Step 3: Cross multiply
    2,350.91x = 3,527.78 × 964.89
  4. Step 4: Simplify right side
    2,350.91x = 3,403,914.82
  5. Step 5: Solve for x
    x = 3,403,914.82/2,350.91
  6. Step 6: Final answer
    x = 1,447.92

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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.