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Finding the Fourth Proportional to 2,993.66, 4,131.74 and 2,284.17

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Solution

The fourth proportional to 2,993.66, 4,131.74 and 2,284.17 is: 3,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.66 : 4,131.74 = 2,284.17 : x
  2. Step 2: Convert to fraction form
    2,993.66/4,131.74 = 2,284.17/x
  3. Step 3: Cross multiply
    2,993.66x = 4,131.74 × 2,284.17
  4. Step 4: Simplify right side
    2,993.66x = 9,437,586.77
  5. Step 5: Solve for x
    x = 9,437,586.77/2,993.66
  6. Step 6: Final answer
    x = 3,152.53

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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.