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Finding the Fourth Proportional to 2,006.09, 3,009.47 and 619.11

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Solution

The fourth proportional to 2,006.09, 3,009.47 and 619.11 is: 928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.09 : 3,009.47 = 619.11 : x
  2. Step 2: Convert to fraction form
    2,006.09/3,009.47 = 619.11/x
  3. Step 3: Cross multiply
    2,006.09x = 3,009.47 × 619.11
  4. Step 4: Simplify right side
    2,006.09x = 1,863,178.59
  5. Step 5: Solve for x
    x = 1,863,178.59/2,006.09
  6. Step 6: Final answer
    x = 928.76

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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.