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Finding the Fourth Proportional to 2,186.40, 3,281.28 and 888.96

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Solution

The fourth proportional to 2,186.40, 3,281.28 and 888.96 is: 1,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.40 : 3,281.28 = 888.96 : x
  2. Step 2: Convert to fraction form
    2,186.40/3,281.28 = 888.96/x
  3. Step 3: Cross multiply
    2,186.40x = 3,281.28 × 888.96
  4. Step 4: Simplify right side
    2,186.40x = 2,916,926.67
  5. Step 5: Solve for x
    x = 2,916,926.67/2,186.40
  6. Step 6: Final answer
    x = 1,334.12

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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.