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Finding the Fourth Proportional to 2,253.98, 3,110.65 and 1,259.44

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Solution

The fourth proportional to 2,253.98, 3,110.65 and 1,259.44 is: 1,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.98 : 3,110.65 = 1,259.44 : x
  2. Step 2: Convert to fraction form
    2,253.98/3,110.65 = 1,259.44/x
  3. Step 3: Cross multiply
    2,253.98x = 3,110.65 × 1,259.44
  4. Step 4: Simplify right side
    2,253.98x = 3,917,666.11
  5. Step 5: Solve for x
    x = 3,917,666.11/2,253.98
  6. Step 6: Final answer
    x = 1,738.11

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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.