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Finding the Fourth Proportional to 2,005.80, 3,008.70 and 545.10

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Solution

The fourth proportional to 2,005.80, 3,008.70 and 545.10 is: 817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.80 : 3,008.70 = 545.10 : x
  2. Step 2: Convert to fraction form
    2,005.80/3,008.70 = 545.10/x
  3. Step 3: Cross multiply
    2,005.80x = 3,008.70 × 545.10
  4. Step 4: Simplify right side
    2,005.80x = 1,640,042.37
  5. Step 5: Solve for x
    x = 1,640,042.37/2,005.80
  6. Step 6: Final answer
    x = 817.65

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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.