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Finding the Fourth Proportional to 2,993.66, 4,490.67 and 913.81

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Solution

The fourth proportional to 2,993.66, 4,490.67 and 913.81 is: 1,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.66 : 4,490.67 = 913.81 : x
  2. Step 2: Convert to fraction form
    2,993.66/4,490.67 = 913.81/x
  3. Step 3: Cross multiply
    2,993.66x = 4,490.67 × 913.81
  4. Step 4: Simplify right side
    2,993.66x = 4,103,619.15
  5. Step 5: Solve for x
    x = 4,103,619.15/2,993.66
  6. Step 6: Final answer
    x = 1,370.77

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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.