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Finding the Fourth Proportional to 2,202.66, 3,303.45 and 741.78

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Solution

The fourth proportional to 2,202.66, 3,303.45 and 741.78 is: 1,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.66 : 3,303.45 = 741.78 : x
  2. Step 2: Convert to fraction form
    2,202.66/3,303.45 = 741.78/x
  3. Step 3: Cross multiply
    2,202.66x = 3,303.45 × 741.78
  4. Step 4: Simplify right side
    2,202.66x = 2,450,433.14
  5. Step 5: Solve for x
    x = 2,450,433.14/2,202.66
  6. Step 6: Final answer
    x = 1,112.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.