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Finding the Fourth Proportional to 2,041.74, 2,817.83 and 1,916.62

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Solution

The fourth proportional to 2,041.74, 2,817.83 and 1,916.62 is: 2,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.74 : 2,817.83 = 1,916.62 : x
  2. Step 2: Convert to fraction form
    2,041.74/2,817.83 = 1,916.62/x
  3. Step 3: Cross multiply
    2,041.74x = 2,817.83 × 1,916.62
  4. Step 4: Simplify right side
    2,041.74x = 5,400,709.33
  5. Step 5: Solve for x
    x = 5,400,709.33/2,041.74
  6. Step 6: Final answer
    x = 2,645.15

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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.