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Finding the Fourth Proportional to 1,752.78, 2,623.10 and 1,266.78

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Solution

The fourth proportional to 1,752.78, 2,623.10 and 1,266.78 is: 1,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.78 : 2,623.10 = 1,266.78 : x
  2. Step 2: Convert to fraction form
    1,752.78/2,623.10 = 1,266.78/x
  3. Step 3: Cross multiply
    1,752.78x = 2,623.10 × 1,266.78
  4. Step 4: Simplify right side
    1,752.78x = 3,322,884.28
  5. Step 5: Solve for x
    x = 3,322,884.28/1,752.78
  6. Step 6: Final answer
    x = 1,895.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.