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Finding the Fourth Proportional to 2,203.74, 3,040.20 and 1,364.22

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Solution

The fourth proportional to 2,203.74, 3,040.20 and 1,364.22 is: 1,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.74 : 3,040.20 = 1,364.22 : x
  2. Step 2: Convert to fraction form
    2,203.74/3,040.20 = 1,364.22/x
  3. Step 3: Cross multiply
    2,203.74x = 3,040.20 × 1,364.22
  4. Step 4: Simplify right side
    2,203.74x = 4,147,501.64
  5. Step 5: Solve for x
    x = 4,147,501.64/2,203.74
  6. Step 6: Final answer
    x = 1,882.03

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1.5x scale

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.