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Finding the Fourth Proportional to 1,643.92, 2,462.94 and 993.40

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Solution

The fourth proportional to 1,643.92, 2,462.94 and 993.40 is: 1,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.92 : 2,462.94 = 993.40 : x
  2. Step 2: Convert to fraction form
    1,643.92/2,462.94 = 993.40/x
  3. Step 3: Cross multiply
    1,643.92x = 2,462.94 × 993.40
  4. Step 4: Simplify right side
    1,643.92x = 2,446,684.60
  5. Step 5: Solve for x
    x = 2,446,684.60/1,643.92
  6. Step 6: Final answer
    x = 1,488.32

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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.