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Finding the Fourth Proportional to 1,549.09, 2,137.78 and 886

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Solution

The fourth proportional to 1,549.09, 2,137.78 and 886 is: 1,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.09 : 2,137.78 = 886 : x
  2. Step 2: Convert to fraction form
    1,549.09/2,137.78 = 886/x
  3. Step 3: Cross multiply
    1,549.09x = 2,137.78 × 886
  4. Step 4: Simplify right side
    1,549.09x = 1,894,068.65
  5. Step 5: Solve for x
    x = 1,894,068.65/1,549.09
  6. Step 6: Final answer
    x = 1,222.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.