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Finding the Fourth Proportional to 2,890.71, 3,988.26 and 2,050.74

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Solution

The fourth proportional to 2,890.71, 3,988.26 and 2,050.74 is: 2,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.71 : 3,988.26 = 2,050.74 : x
  2. Step 2: Convert to fraction form
    2,890.71/3,988.26 = 2,050.74/x
  3. Step 3: Cross multiply
    2,890.71x = 3,988.26 × 2,050.74
  4. Step 4: Simplify right side
    2,890.71x = 8,178,884.31
  5. Step 5: Solve for x
    x = 8,178,884.31/2,890.71
  6. Step 6: Final answer
    x = 2,829.37

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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.