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Finding the Fourth Proportional to 2,425.71, 3,639.94 and 964.98

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Solution

The fourth proportional to 2,425.71, 3,639.94 and 964.98 is: 1,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.71 : 3,639.94 = 964.98 : x
  2. Step 2: Convert to fraction form
    2,425.71/3,639.94 = 964.98/x
  3. Step 3: Cross multiply
    2,425.71x = 3,639.94 × 964.98
  4. Step 4: Simplify right side
    2,425.71x = 3,512,466.89
  5. Step 5: Solve for x
    x = 3,512,466.89/2,425.71
  6. Step 6: Final answer
    x = 1,448.01

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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.