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Finding the Fourth Proportional to 1,549.16, 2,137.86 and 886.07

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Solution

The fourth proportional to 1,549.16, 2,137.86 and 886.07 is: 1,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.16 : 2,137.86 = 886.07 : x
  2. Step 2: Convert to fraction form
    1,549.16/2,137.86 = 886.07/x
  3. Step 3: Cross multiply
    1,549.16x = 2,137.86 × 886.07
  4. Step 4: Simplify right side
    1,549.16x = 1,894,282.92
  5. Step 5: Solve for x
    x = 1,894,282.92/1,549.16
  6. Step 6: Final answer
    x = 1,222.78

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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.