Home / 2,284.98-3,427.45-824.13

Finding the Fourth Proportional to 2,284.98, 3,427.45 and 824.13

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Solution

The fourth proportional to 2,284.98, 3,427.45 and 824.13 is: 1,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.98 : 3,427.45 = 824.13 : x
  2. Step 2: Convert to fraction form
    2,284.98/3,427.45 = 824.13/x
  3. Step 3: Cross multiply
    2,284.98x = 3,427.45 × 824.13
  4. Step 4: Simplify right side
    2,284.98x = 2,824,664.37
  5. Step 5: Solve for x
    x = 2,824,664.37/2,284.98
  6. Step 6: Final answer
    x = 1,236.19

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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.