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Finding the Fourth Proportional to 2,185.66, 3,278.46 and 886.24

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Solution

The fourth proportional to 2,185.66, 3,278.46 and 886.24 is: 1,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.66 : 3,278.46 = 886.24 : x
  2. Step 2: Convert to fraction form
    2,185.66/3,278.46 = 886.24/x
  3. Step 3: Cross multiply
    2,185.66x = 3,278.46 × 886.24
  4. Step 4: Simplify right side
    2,185.66x = 2,905,502.39
  5. Step 5: Solve for x
    x = 2,905,502.39/2,185.66
  6. Step 6: Final answer
    x = 1,329.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.