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Finding the Fourth Proportional to 2,911.71, 4,016.98 and 1,776.80

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Solution

The fourth proportional to 2,911.71, 4,016.98 and 1,776.80 is: 2,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.71 : 4,016.98 = 1,776.80 : x
  2. Step 2: Convert to fraction form
    2,911.71/4,016.98 = 1,776.80/x
  3. Step 3: Cross multiply
    2,911.71x = 4,016.98 × 1,776.80
  4. Step 4: Simplify right side
    2,911.71x = 7,137,367.26
  5. Step 5: Solve for x
    x = 7,137,367.26/2,911.71
  6. Step 6: Final answer
    x = 2,451.26

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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.