Home / 3,184.64-4,777.92-2,262

Finding the Fourth Proportional to 3,184.64, 4,777.92 and 2,262

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Solution

The fourth proportional to 3,184.64, 4,777.92 and 2,262 is: 3,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.64 : 4,777.92 = 2,262 : x
  2. Step 2: Convert to fraction form
    3,184.64/4,777.92 = 2,262/x
  3. Step 3: Cross multiply
    3,184.64x = 4,777.92 × 2,262
  4. Step 4: Simplify right side
    3,184.64x = 10,807,655.04
  5. Step 5: Solve for x
    x = 10,807,655.04/3,184.64
  6. Step 6: Final answer
    x = 3,393.68

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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.