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Finding the Fourth Proportional to 2,882.22, 4,321.53 and 933.42

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Solution

The fourth proportional to 2,882.22, 4,321.53 and 933.42 is: 1,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.22 : 4,321.53 = 933.42 : x
  2. Step 2: Convert to fraction form
    2,882.22/4,321.53 = 933.42/x
  3. Step 3: Cross multiply
    2,882.22x = 4,321.53 × 933.42
  4. Step 4: Simplify right side
    2,882.22x = 4,033,802.53
  5. Step 5: Solve for x
    x = 4,033,802.53/2,882.22
  6. Step 6: Final answer
    x = 1,399.55

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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.