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Finding the Fourth Proportional to 2,186.51, 3,017.42 and 1,191.83

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Solution

The fourth proportional to 2,186.51, 3,017.42 and 1,191.83 is: 1,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.51 : 3,017.42 = 1,191.83 : x
  2. Step 2: Convert to fraction form
    2,186.51/3,017.42 = 1,191.83/x
  3. Step 3: Cross multiply
    2,186.51x = 3,017.42 × 1,191.83
  4. Step 4: Simplify right side
    2,186.51x = 3,596,230.63
  5. Step 5: Solve for x
    x = 3,596,230.63/2,186.51
  6. Step 6: Final answer
    x = 1,644.74

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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.