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Finding the Fourth Proportional to 1,549.27, 2,138.06 and 886.33

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Solution

The fourth proportional to 1,549.27, 2,138.06 and 886.33 is: 1,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.27 : 2,138.06 = 886.33 : x
  2. Step 2: Convert to fraction form
    1,549.27/2,138.06 = 886.33/x
  3. Step 3: Cross multiply
    1,549.27x = 2,138.06 × 886.33
  4. Step 4: Simplify right side
    1,549.27x = 1,895,026.72
  5. Step 5: Solve for x
    x = 1,895,026.72/1,549.27
  6. Step 6: Final answer
    x = 1,223.17

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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.