Home / 2,140.51-3,211.20-824.26

Finding the Fourth Proportional to 2,140.51, 3,211.20 and 824.26

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Solution

The fourth proportional to 2,140.51, 3,211.20 and 824.26 is: 1,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.51 : 3,211.20 = 824.26 : x
  2. Step 2: Convert to fraction form
    2,140.51/3,211.20 = 824.26/x
  3. Step 3: Cross multiply
    2,140.51x = 3,211.20 × 824.26
  4. Step 4: Simplify right side
    2,140.51x = 2,646,863.71
  5. Step 5: Solve for x
    x = 2,646,863.71/2,140.51
  6. Step 6: Final answer
    x = 1,236.56

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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.