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Finding the Fourth Proportional to 2,089.49, 3,133.01 and 702.56

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Solution

The fourth proportional to 2,089.49, 3,133.01 and 702.56 is: 1,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.49 : 3,133.01 = 702.56 : x
  2. Step 2: Convert to fraction form
    2,089.49/3,133.01 = 702.56/x
  3. Step 3: Cross multiply
    2,089.49x = 3,133.01 × 702.56
  4. Step 4: Simplify right side
    2,089.49x = 2,201,108.33
  5. Step 5: Solve for x
    x = 2,201,108.33/2,089.49
  6. Step 6: Final answer
    x = 1,053.42

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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.