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Finding the Fourth Proportional to 2,492.40, 3,738.87 and 933.15

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Solution

The fourth proportional to 2,492.40, 3,738.87 and 933.15 is: 1,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.40 : 3,738.87 = 933.15 : x
  2. Step 2: Convert to fraction form
    2,492.40/3,738.87 = 933.15/x
  3. Step 3: Cross multiply
    2,492.40x = 3,738.87 × 933.15
  4. Step 4: Simplify right side
    2,492.40x = 3,488,926.54
  5. Step 5: Solve for x
    x = 3,488,926.54/2,492.40
  6. Step 6: Final answer
    x = 1,399.83

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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.