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Finding the Fourth Proportional to 2,006.83, 3,009.95 and 546.10

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Solution

The fourth proportional to 2,006.83, 3,009.95 and 546.10 is: 819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.83 : 3,009.95 = 546.10 : x
  2. Step 2: Convert to fraction form
    2,006.83/3,009.95 = 546.10/x
  3. Step 3: Cross multiply
    2,006.83x = 3,009.95 × 546.10
  4. Step 4: Simplify right side
    2,006.83x = 1,643,727.20
  5. Step 5: Solve for x
    x = 1,643,727.20/2,006.83
  6. Step 6: Final answer
    x = 819.07

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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.