Home / 1,701.19-2,552.21-824.11

Finding the Fourth Proportional to 1,701.19, 2,552.21 and 824.11

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Solution

The fourth proportional to 1,701.19, 2,552.21 and 824.11 is: 1,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.19 : 2,552.21 = 824.11 : x
  2. Step 2: Convert to fraction form
    1,701.19/2,552.21 = 824.11/x
  3. Step 3: Cross multiply
    1,701.19x = 2,552.21 × 824.11
  4. Step 4: Simplify right side
    1,701.19x = 2,103,297.46
  5. Step 5: Solve for x
    x = 2,103,297.46/1,701.19
  6. Step 6: Final answer
    x = 1,236.37

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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.