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Finding the Fourth Proportional to 2,089.44, 3,134.24 and 702.83

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Solution

The fourth proportional to 2,089.44, 3,134.24 and 702.83 is: 1,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.44 : 3,134.24 = 702.83 : x
  2. Step 2: Convert to fraction form
    2,089.44/3,134.24 = 702.83/x
  3. Step 3: Cross multiply
    2,089.44x = 3,134.24 × 702.83
  4. Step 4: Simplify right side
    2,089.44x = 2,202,837.90
  5. Step 5: Solve for x
    x = 2,202,837.90/2,089.44
  6. Step 6: Final answer
    x = 1,054.27

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1.5x scale

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.