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Finding the Fourth Proportional to 2,993.94, 4,492.34 and 1,350.99

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Solution

The fourth proportional to 2,993.94, 4,492.34 and 1,350.99 is: 2,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.94 : 4,492.34 = 1,350.99 : x
  2. Step 2: Convert to fraction form
    2,993.94/4,492.34 = 1,350.99/x
  3. Step 3: Cross multiply
    2,993.94x = 4,492.34 × 1,350.99
  4. Step 4: Simplify right side
    2,993.94x = 6,069,099.66
  5. Step 5: Solve for x
    x = 6,069,099.66/2,993.94
  6. Step 6: Final answer
    x = 2,027.13

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Why These Related Problems?

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