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Finding the Fourth Proportional to 2,900.71, 4,005.89 and 2,006.83

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Solution

The fourth proportional to 2,900.71, 4,005.89 and 2,006.83 is: 2,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.71 : 4,005.89 = 2,006.83 : x
  2. Step 2: Convert to fraction form
    2,900.71/4,005.89 = 2,006.83/x
  3. Step 3: Cross multiply
    2,900.71x = 4,005.89 × 2,006.83
  4. Step 4: Simplify right side
    2,900.71x = 8,039,140.23
  5. Step 5: Solve for x
    x = 8,039,140.23/2,900.71
  6. Step 6: Final answer
    x = 2,771.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.