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Finding the Fourth Proportional to 2,425.25, 3,637.89 and 964.77

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Solution

The fourth proportional to 2,425.25, 3,637.89 and 964.77 is: 1,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.25 : 3,637.89 = 964.77 : x
  2. Step 2: Convert to fraction form
    2,425.25/3,637.89 = 964.77/x
  3. Step 3: Cross multiply
    2,425.25x = 3,637.89 × 964.77
  4. Step 4: Simplify right side
    2,425.25x = 3,509,727.14
  5. Step 5: Solve for x
    x = 3,509,727.14/2,425.25
  6. Step 6: Final answer
    x = 1,447.16

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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.