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Finding the Fourth Proportional to 2,977.74, 4,110.03 and 1,916.22

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Solution

The fourth proportional to 2,977.74, 4,110.03 and 1,916.22 is: 2,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.74 : 4,110.03 = 1,916.22 : x
  2. Step 2: Convert to fraction form
    2,977.74/4,110.03 = 1,916.22/x
  3. Step 3: Cross multiply
    2,977.74x = 4,110.03 × 1,916.22
  4. Step 4: Simplify right side
    2,977.74x = 7,875,721.69
  5. Step 5: Solve for x
    x = 7,875,721.69/2,977.74
  6. Step 6: Final answer
    x = 2,644.87

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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.