Home / 2,822.33-4,233.80-973.22

Finding the Fourth Proportional to 2,822.33, 4,233.80 and 973.22

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Solution

The fourth proportional to 2,822.33, 4,233.80 and 973.22 is: 1,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.33 : 4,233.80 = 973.22 : x
  2. Step 2: Convert to fraction form
    2,822.33/4,233.80 = 973.22/x
  3. Step 3: Cross multiply
    2,822.33x = 4,233.80 × 973.22
  4. Step 4: Simplify right side
    2,822.33x = 4,120,400.10
  5. Step 5: Solve for x
    x = 4,120,400.10/2,822.33
  6. Step 6: Final answer
    x = 1,459.93

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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.