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Finding the Fourth Proportional to 2,112.93, 3,169.06 and 707.37

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Solution

The fourth proportional to 2,112.93, 3,169.06 and 707.37 is: 1,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.93 : 3,169.06 = 707.37 : x
  2. Step 2: Convert to fraction form
    2,112.93/3,169.06 = 707.37/x
  3. Step 3: Cross multiply
    2,112.93x = 3,169.06 × 707.37
  4. Step 4: Simplify right side
    2,112.93x = 2,241,712.07
  5. Step 5: Solve for x
    x = 2,241,712.07/2,112.93
  6. Step 6: Final answer
    x = 1,060.95

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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.