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Finding the Fourth Proportional to 2,188.66, 3,282.42 and 1,495.21

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Solution

The fourth proportional to 2,188.66, 3,282.42 and 1,495.21 is: 2,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.66 : 3,282.42 = 1,495.21 : x
  2. Step 2: Convert to fraction form
    2,188.66/3,282.42 = 1,495.21/x
  3. Step 3: Cross multiply
    2,188.66x = 3,282.42 × 1,495.21
  4. Step 4: Simplify right side
    2,188.66x = 4,907,907.21
  5. Step 5: Solve for x
    x = 4,907,907.21/2,188.66
  6. Step 6: Final answer
    x = 2,242.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.