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Finding the Fourth Proportional to 2,352.49, 3,527.47 and 965.41

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Solution

The fourth proportional to 2,352.49, 3,527.47 and 965.41 is: 1,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.49 : 3,527.47 = 965.41 : x
  2. Step 2: Convert to fraction form
    2,352.49/3,527.47 = 965.41/x
  3. Step 3: Cross multiply
    2,352.49x = 3,527.47 × 965.41
  4. Step 4: Simplify right side
    2,352.49x = 3,405,454.81
  5. Step 5: Solve for x
    x = 3,405,454.81/2,352.49
  6. Step 6: Final answer
    x = 1,447.60

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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.