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Finding the Fourth Proportional to 2,266.57, 3,125.95 and 1,914.22

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Solution

The fourth proportional to 2,266.57, 3,125.95 and 1,914.22 is: 2,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.57 : 3,125.95 = 1,914.22 : x
  2. Step 2: Convert to fraction form
    2,266.57/3,125.95 = 1,914.22/x
  3. Step 3: Cross multiply
    2,266.57x = 3,125.95 × 1,914.22
  4. Step 4: Simplify right side
    2,266.57x = 5,983,756.01
  5. Step 5: Solve for x
    x = 5,983,756.01/2,266.57
  6. Step 6: Final answer
    x = 2,640.00

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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.