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Finding the Fourth Proportional to 1,647.65, 2,273.69 and 901.61

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Solution

The fourth proportional to 1,647.65, 2,273.69 and 901.61 is: 1,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.65 : 2,273.69 = 901.61 : x
  2. Step 2: Convert to fraction form
    1,647.65/2,273.69 = 901.61/x
  3. Step 3: Cross multiply
    1,647.65x = 2,273.69 × 901.61
  4. Step 4: Simplify right side
    1,647.65x = 2,049,965.76
  5. Step 5: Solve for x
    x = 2,049,965.76/1,647.65
  6. Step 6: Final answer
    x = 1,244.18

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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.