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Finding the Fourth Proportional to 2,352.78, 3,527.55 and 965.70

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Solution

The fourth proportional to 2,352.78, 3,527.55 and 965.70 is: 1,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.78 : 3,527.55 = 965.70 : x
  2. Step 2: Convert to fraction form
    2,352.78/3,527.55 = 965.70/x
  3. Step 3: Cross multiply
    2,352.78x = 3,527.55 × 965.70
  4. Step 4: Simplify right side
    2,352.78x = 3,406,555.04
  5. Step 5: Solve for x
    x = 3,406,555.04/2,352.78
  6. Step 6: Final answer
    x = 1,447.89

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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.