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Finding the Fourth Proportional to 1,266.64, 1,885.75 and 1,260.56

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Solution

The fourth proportional to 1,266.64, 1,885.75 and 1,260.56 is: 1,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.64 : 1,885.75 = 1,260.56 : x
  2. Step 2: Convert to fraction form
    1,266.64/1,885.75 = 1,260.56/x
  3. Step 3: Cross multiply
    1,266.64x = 1,885.75 × 1,260.56
  4. Step 4: Simplify right side
    1,266.64x = 2,377,102.58
  5. Step 5: Solve for x
    x = 2,377,102.58/1,266.64
  6. Step 6: Final answer
    x = 1,876.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.