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Finding the Fourth Proportional to 2,148.05, 2,964.23 and 1,264.44

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Solution

The fourth proportional to 2,148.05, 2,964.23 and 1,264.44 is: 1,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.05 : 2,964.23 = 1,264.44 : x
  2. Step 2: Convert to fraction form
    2,148.05/2,964.23 = 1,264.44/x
  3. Step 3: Cross multiply
    2,148.05x = 2,964.23 × 1,264.44
  4. Step 4: Simplify right side
    2,148.05x = 3,748,100.52
  5. Step 5: Solve for x
    x = 3,748,100.52/2,148.05
  6. Step 6: Final answer
    x = 1,744.88

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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.