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Finding the Fourth Proportional to 2,148.84, 2,965.23 and 1,252.44

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Solution

The fourth proportional to 2,148.84, 2,965.23 and 1,252.44 is: 1,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.84 : 2,965.23 = 1,252.44 : x
  2. Step 2: Convert to fraction form
    2,148.84/2,965.23 = 1,252.44/x
  3. Step 3: Cross multiply
    2,148.84x = 2,965.23 × 1,252.44
  4. Step 4: Simplify right side
    2,148.84x = 3,713,772.66
  5. Step 5: Solve for x
    x = 3,713,772.66/2,148.84
  6. Step 6: Final answer
    x = 1,728.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.