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Finding the Fourth Proportional to 2,186.78, 3,277.10 and 1,536.18

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Solution

The fourth proportional to 2,186.78, 3,277.10 and 1,536.18 is: 2,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.78 : 3,277.10 = 1,536.18 : x
  2. Step 2: Convert to fraction form
    2,186.78/3,277.10 = 1,536.18/x
  3. Step 3: Cross multiply
    2,186.78x = 3,277.10 × 1,536.18
  4. Step 4: Simplify right side
    2,186.78x = 5,034,215.48
  5. Step 5: Solve for x
    x = 5,034,215.48/2,186.78
  6. Step 6: Final answer
    x = 2,302.11

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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.