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Finding the Fourth Proportional to 2,186.32, 3,014.50 and 1,786.50

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Solution

The fourth proportional to 2,186.32, 3,014.50 and 1,786.50 is: 2,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.32 : 3,014.50 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    2,186.32/3,014.50 = 1,786.50/x
  3. Step 3: Cross multiply
    2,186.32x = 3,014.50 × 1,786.50
  4. Step 4: Simplify right side
    2,186.32x = 5,385,404.25
  5. Step 5: Solve for x
    x = 5,385,404.25/2,186.32
  6. Step 6: Final answer
    x = 2,463.23

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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.