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Finding the Fourth Proportional to 2,301.48, 3,452.04 and 741.67

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Solution

The fourth proportional to 2,301.48, 3,452.04 and 741.67 is: 1,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.48 : 3,452.04 = 741.67 : x
  2. Step 2: Convert to fraction form
    2,301.48/3,452.04 = 741.67/x
  3. Step 3: Cross multiply
    2,301.48x = 3,452.04 × 741.67
  4. Step 4: Simplify right side
    2,301.48x = 2,560,265.88
  5. Step 5: Solve for x
    x = 2,560,265.88/2,301.48
  6. Step 6: Final answer
    x = 1,112.44

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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.