Home / 2,496-3,742.32-1,196.76

Finding the Fourth Proportional to 2,496, 3,742.32 and 1,196.76

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Solution

The fourth proportional to 2,496, 3,742.32 and 1,196.76 is: 1,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496 : 3,742.32 = 1,196.76 : x
  2. Step 2: Convert to fraction form
    2,496/3,742.32 = 1,196.76/x
  3. Step 3: Cross multiply
    2,496x = 3,742.32 × 1,196.76
  4. Step 4: Simplify right side
    2,496x = 4,478,658.88
  5. Step 5: Solve for x
    x = 4,478,658.88/2,496
  6. Step 6: Final answer
    x = 1,794.33

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