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Finding the Fourth Proportional to 2,203.56, 3,040.20 and 1,503.72

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Solution

The fourth proportional to 2,203.56, 3,040.20 and 1,503.72 is: 2,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.56 : 3,040.20 = 1,503.72 : x
  2. Step 2: Convert to fraction form
    2,203.56/3,040.20 = 1,503.72/x
  3. Step 3: Cross multiply
    2,203.56x = 3,040.20 × 1,503.72
  4. Step 4: Simplify right side
    2,203.56x = 4,571,609.54
  5. Step 5: Solve for x
    x = 4,571,609.54/2,203.56
  6. Step 6: Final answer
    x = 2,074.65

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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.