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Finding the Fourth Proportional to 1,647.65, 2,274.58 and 1,119.33

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Solution

The fourth proportional to 1,647.65, 2,274.58 and 1,119.33 is: 1,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.65 : 2,274.58 = 1,119.33 : x
  2. Step 2: Convert to fraction form
    1,647.65/2,274.58 = 1,119.33/x
  3. Step 3: Cross multiply
    1,647.65x = 2,274.58 × 1,119.33
  4. Step 4: Simplify right side
    1,647.65x = 2,546,000.63
  5. Step 5: Solve for x
    x = 2,546,000.63/1,647.65
  6. Step 6: Final answer
    x = 1,545.23

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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.