Home / 2,159.82-3,242.16-1,284.21

Finding the Fourth Proportional to 2,159.82, 3,242.16 and 1,284.21

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Solution

The fourth proportional to 2,159.82, 3,242.16 and 1,284.21 is: 1,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.82 : 3,242.16 = 1,284.21 : x
  2. Step 2: Convert to fraction form
    2,159.82/3,242.16 = 1,284.21/x
  3. Step 3: Cross multiply
    2,159.82x = 3,242.16 × 1,284.21
  4. Step 4: Simplify right side
    2,159.82x = 4,163,614.29
  5. Step 5: Solve for x
    x = 4,163,614.29/2,159.82
  6. Step 6: Final answer
    x = 1,927.76

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1.5x scale

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.