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Finding the Fourth Proportional to 2,186.48, 3,017.34 and 1,191.76

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Solution

The fourth proportional to 2,186.48, 3,017.34 and 1,191.76 is: 1,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.48 : 3,017.34 = 1,191.76 : x
  2. Step 2: Convert to fraction form
    2,186.48/3,017.34 = 1,191.76/x
  3. Step 3: Cross multiply
    2,186.48x = 3,017.34 × 1,191.76
  4. Step 4: Simplify right side
    2,186.48x = 3,595,945.12
  5. Step 5: Solve for x
    x = 3,595,945.12/2,186.48
  6. Step 6: Final answer
    x = 1,644.63

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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.