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Finding the Fourth Proportional to 2,308.93, 3,463.23 and 992.68

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Solution

The fourth proportional to 2,308.93, 3,463.23 and 992.68 is: 1,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.93 : 3,463.23 = 992.68 : x
  2. Step 2: Convert to fraction form
    2,308.93/3,463.23 = 992.68/x
  3. Step 3: Cross multiply
    2,308.93x = 3,463.23 × 992.68
  4. Step 4: Simplify right side
    2,308.93x = 3,437,879.16
  5. Step 5: Solve for x
    x = 3,437,879.16/2,308.93
  6. Step 6: Final answer
    x = 1,488.95

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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.