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Finding the Fourth Proportional to 1,549.15, 2,137.86 and 886.07

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Solution

The fourth proportional to 1,549.15, 2,137.86 and 886.07 is: 1,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.15 : 2,137.86 = 886.07 : x
  2. Step 2: Convert to fraction form
    1,549.15/2,137.86 = 886.07/x
  3. Step 3: Cross multiply
    1,549.15x = 2,137.86 × 886.07
  4. Step 4: Simplify right side
    1,549.15x = 1,894,298.95
  5. Step 5: Solve for x
    x = 1,894,298.95/1,549.15
  6. Step 6: Final answer
    x = 1,222.80

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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.