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Finding the Fourth Proportional to 2,148.46, 3,224.80 and 1,053.62

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Solution

The fourth proportional to 2,148.46, 3,224.80 and 1,053.62 is: 1,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.46 : 3,224.80 = 1,053.62 : x
  2. Step 2: Convert to fraction form
    2,148.46/3,224.80 = 1,053.62/x
  3. Step 3: Cross multiply
    2,148.46x = 3,224.80 × 1,053.62
  4. Step 4: Simplify right side
    2,148.46x = 3,397,713.78
  5. Step 5: Solve for x
    x = 3,397,713.78/2,148.46
  6. Step 6: Final answer
    x = 1,581.46

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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.