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Finding the Fourth Proportional to 1,640.66, 2,264.94 and 1,266.80

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Solution

The fourth proportional to 1,640.66, 2,264.94 and 1,266.80 is: 1,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.66 : 2,264.94 = 1,266.80 : x
  2. Step 2: Convert to fraction form
    1,640.66/2,264.94 = 1,266.80/x
  3. Step 3: Cross multiply
    1,640.66x = 2,264.94 × 1,266.80
  4. Step 4: Simplify right side
    1,640.66x = 2,869,214.67
  5. Step 5: Solve for x
    x = 2,869,214.67/1,640.66
  6. Step 6: Final answer
    x = 1,748.82

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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.