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Finding the Fourth Proportional to 2,426.42, 3,641.52 and 965.72

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Solution

The fourth proportional to 2,426.42, 3,641.52 and 965.72 is: 1,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.42 : 3,641.52 = 965.72 : x
  2. Step 2: Convert to fraction form
    2,426.42/3,641.52 = 965.72/x
  3. Step 3: Cross multiply
    2,426.42x = 3,641.52 × 965.72
  4. Step 4: Simplify right side
    2,426.42x = 3,516,688.69
  5. Step 5: Solve for x
    x = 3,516,688.69/2,426.42
  6. Step 6: Final answer
    x = 1,449.33

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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.