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Finding the Fourth Proportional to 2,005.98, 3,009.13 and 545.26

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Solution

The fourth proportional to 2,005.98, 3,009.13 and 545.26 is: 817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.98 : 3,009.13 = 545.26 : x
  2. Step 2: Convert to fraction form
    2,005.98/3,009.13 = 545.26/x
  3. Step 3: Cross multiply
    2,005.98x = 3,009.13 × 545.26
  4. Step 4: Simplify right side
    2,005.98x = 1,640,758.22
  5. Step 5: Solve for x
    x = 1,640,758.22/2,005.98
  6. Step 6: Final answer
    x = 817.93

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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.