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Finding the Fourth Proportional to 2,254.55, 3,111.16 and 1,259.63

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Solution

The fourth proportional to 2,254.55, 3,111.16 and 1,259.63 is: 1,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.55 : 3,111.16 = 1,259.63 : x
  2. Step 2: Convert to fraction form
    2,254.55/3,111.16 = 1,259.63/x
  3. Step 3: Cross multiply
    2,254.55x = 3,111.16 × 1,259.63
  4. Step 4: Simplify right side
    2,254.55x = 3,918,910.47
  5. Step 5: Solve for x
    x = 3,918,910.47/2,254.55
  6. Step 6: Final answer
    x = 1,738.22

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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.