Home / 2,842.09-4,263.13-1,282.64

Finding the Fourth Proportional to 2,842.09, 4,263.13 and 1,282.64

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Solution

The fourth proportional to 2,842.09, 4,263.13 and 1,282.64 is: 1,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.09 : 4,263.13 = 1,282.64 : x
  2. Step 2: Convert to fraction form
    2,842.09/4,263.13 = 1,282.64/x
  3. Step 3: Cross multiply
    2,842.09x = 4,263.13 × 1,282.64
  4. Step 4: Simplify right side
    2,842.09x = 5,468,041.35
  5. Step 5: Solve for x
    x = 5,468,041.35/2,842.09
  6. Step 6: Final answer
    x = 1,923.95

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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.