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Finding the Fourth Proportional to 2,186.70, 3,017.57 and 1,191.99

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Solution

The fourth proportional to 2,186.70, 3,017.57 and 1,191.99 is: 1,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.70 : 3,017.57 = 1,191.99 : x
  2. Step 2: Convert to fraction form
    2,186.70/3,017.57 = 1,191.99/x
  3. Step 3: Cross multiply
    2,186.70x = 3,017.57 × 1,191.99
  4. Step 4: Simplify right side
    2,186.70x = 3,596,911.81
  5. Step 5: Solve for x
    x = 3,596,911.81/2,186.70
  6. Step 6: Final answer
    x = 1,644.91

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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.