Home / 2,211.02-3,316.75-824.03

Finding the Fourth Proportional to 2,211.02, 3,316.75 and 824.03

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Solution

The fourth proportional to 2,211.02, 3,316.75 and 824.03 is: 1,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.02 : 3,316.75 = 824.03 : x
  2. Step 2: Convert to fraction form
    2,211.02/3,316.75 = 824.03/x
  3. Step 3: Cross multiply
    2,211.02x = 3,316.75 × 824.03
  4. Step 4: Simplify right side
    2,211.02x = 2,733,117.29
  5. Step 5: Solve for x
    x = 2,733,117.29/2,211.02
  6. Step 6: Final answer
    x = 1,236.13

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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.