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Finding the Fourth Proportional to 2,203.74, 3,041.08 and 1,259.48

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Solution

The fourth proportional to 2,203.74, 3,041.08 and 1,259.48 is: 1,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.74 : 3,041.08 = 1,259.48 : x
  2. Step 2: Convert to fraction form
    2,203.74/3,041.08 = 1,259.48/x
  3. Step 3: Cross multiply
    2,203.74x = 3,041.08 × 1,259.48
  4. Step 4: Simplify right side
    2,203.74x = 3,830,183.89
  5. Step 5: Solve for x
    x = 3,830,183.89/2,203.74
  6. Step 6: Final answer
    x = 1,738.04

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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.