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Finding the Fourth Proportional to 1,549.20, 2,137.74 and 886.08

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Solution

The fourth proportional to 1,549.20, 2,137.74 and 886.08 is: 1,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.20 : 2,137.74 = 886.08 : x
  2. Step 2: Convert to fraction form
    1,549.20/2,137.74 = 886.08/x
  3. Step 3: Cross multiply
    1,549.20x = 2,137.74 × 886.08
  4. Step 4: Simplify right side
    1,549.20x = 1,894,208.66
  5. Step 5: Solve for x
    x = 1,894,208.66/1,549.20
  6. Step 6: Final answer
    x = 1,222.70

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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.