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Finding the Fourth Proportional to 2,425.51, 3,641.00 and 965.69

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Solution

The fourth proportional to 2,425.51, 3,641.00 and 965.69 is: 1,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.51 : 3,641.00 = 965.69 : x
  2. Step 2: Convert to fraction form
    2,425.51/3,641.00 = 965.69/x
  3. Step 3: Cross multiply
    2,425.51x = 3,641.00 × 965.69
  4. Step 4: Simplify right side
    2,425.51x = 3,516,073.34
  5. Step 5: Solve for x
    x = 3,516,073.34/2,425.51
  6. Step 6: Final answer
    x = 1,449.62

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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.