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Finding the Fourth Proportional to 2,993.42, 4,490.52 and 2,811.20

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Solution

The fourth proportional to 2,993.42, 4,490.52 and 2,811.20 is: 4,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.42 : 4,490.52 = 2,811.20 : x
  2. Step 2: Convert to fraction form
    2,993.42/4,490.52 = 2,811.20/x
  3. Step 3: Cross multiply
    2,993.42x = 4,490.52 × 2,811.20
  4. Step 4: Simplify right side
    2,993.42x = 12,623,749.82
  5. Step 5: Solve for x
    x = 12,623,749.82/2,993.42
  6. Step 6: Final answer
    x = 4,217.17

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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.