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Finding the Fourth Proportional to 2,186.94, 3,017.22 and 1,401.42

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Solution

The fourth proportional to 2,186.94, 3,017.22 and 1,401.42 is: 1,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.94 : 3,017.22 = 1,401.42 : x
  2. Step 2: Convert to fraction form
    2,186.94/3,017.22 = 1,401.42/x
  3. Step 3: Cross multiply
    2,186.94x = 3,017.22 × 1,401.42
  4. Step 4: Simplify right side
    2,186.94x = 4,228,392.45
  5. Step 5: Solve for x
    x = 4,228,392.45/2,186.94
  6. Step 6: Final answer
    x = 1,933.47

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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.