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Finding the Fourth Proportional to 2,006.29, 3,009.07 and 545.59

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Solution

The fourth proportional to 2,006.29, 3,009.07 and 545.59 is: 818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.29 : 3,009.07 = 545.59 : x
  2. Step 2: Convert to fraction form
    2,006.29/3,009.07 = 545.59/x
  3. Step 3: Cross multiply
    2,006.29x = 3,009.07 × 545.59
  4. Step 4: Simplify right side
    2,006.29x = 1,641,718.50
  5. Step 5: Solve for x
    x = 1,641,718.50/2,006.29
  6. Step 6: Final answer
    x = 818.29

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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.