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Finding the Fourth Proportional to 2,006.95, 2,761 and 1,916.23

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Solution

The fourth proportional to 2,006.95, 2,761 and 1,916.23 is: 2,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.95 : 2,761 = 1,916.23 : x
  2. Step 2: Convert to fraction form
    2,006.95/2,761 = 1,916.23/x
  3. Step 3: Cross multiply
    2,006.95x = 2,761 × 1,916.23
  4. Step 4: Simplify right side
    2,006.95x = 5,290,711.03
  5. Step 5: Solve for x
    x = 5,290,711.03/2,006.95
  6. Step 6: Final answer
    x = 2,636.19

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1.5x scale

Why These Related Problems?

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