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Finding the Fourth Proportional to 2,465.13, 3,697.02 and 733.71

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Solution

The fourth proportional to 2,465.13, 3,697.02 and 733.71 is: 1,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.13 : 3,697.02 = 733.71 : x
  2. Step 2: Convert to fraction form
    2,465.13/3,697.02 = 733.71/x
  3. Step 3: Cross multiply
    2,465.13x = 3,697.02 × 733.71
  4. Step 4: Simplify right side
    2,465.13x = 2,712,540.54
  5. Step 5: Solve for x
    x = 2,712,540.54/2,465.13
  6. Step 6: Final answer
    x = 1,100.36

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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.