Home / 2,153.64-3,231.76-766.87

Finding the Fourth Proportional to 2,153.64, 3,231.76 and 766.87

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Solution

The fourth proportional to 2,153.64, 3,231.76 and 766.87 is: 1,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.64 : 3,231.76 = 766.87 : x
  2. Step 2: Convert to fraction form
    2,153.64/3,231.76 = 766.87/x
  3. Step 3: Cross multiply
    2,153.64x = 3,231.76 × 766.87
  4. Step 4: Simplify right side
    2,153.64x = 2,478,339.79
  5. Step 5: Solve for x
    x = 2,478,339.79/2,153.64
  6. Step 6: Final answer
    x = 1,150.77

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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.