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Finding the Fourth Proportional to 1,979.15, 2,966.81 and 745.70

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Solution

The fourth proportional to 1,979.15, 2,966.81 and 745.70 is: 1,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.15 : 2,966.81 = 745.70 : x
  2. Step 2: Convert to fraction form
    1,979.15/2,966.81 = 745.70/x
  3. Step 3: Cross multiply
    1,979.15x = 2,966.81 × 745.70
  4. Step 4: Simplify right side
    1,979.15x = 2,212,331.65
  5. Step 5: Solve for x
    x = 2,212,331.65/1,979.15
  6. Step 6: Final answer
    x = 1,117.82

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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.