Home / 2,277.32-3,142.70-1,282.84

Finding the Fourth Proportional to 2,277.32, 3,142.70 and 1,282.84

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Solution

The fourth proportional to 2,277.32, 3,142.70 and 1,282.84 is: 1,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.32 : 3,142.70 = 1,282.84 : x
  2. Step 2: Convert to fraction form
    2,277.32/3,142.70 = 1,282.84/x
  3. Step 3: Cross multiply
    2,277.32x = 3,142.70 × 1,282.84
  4. Step 4: Simplify right side
    2,277.32x = 4,031,571.81
  5. Step 5: Solve for x
    x = 4,031,571.81/2,277.32
  6. Step 6: Final answer
    x = 1,770.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.