Home / 2,821.80-4,232.52-972.96

Finding the Fourth Proportional to 2,821.80, 4,232.52 and 972.96

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Solution

The fourth proportional to 2,821.80, 4,232.52 and 972.96 is: 1,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.80 : 4,232.52 = 972.96 : x
  2. Step 2: Convert to fraction form
    2,821.80/4,232.52 = 972.96/x
  3. Step 3: Cross multiply
    2,821.80x = 4,232.52 × 972.96
  4. Step 4: Simplify right side
    2,821.80x = 4,118,072.66
  5. Step 5: Solve for x
    x = 4,118,072.66/2,821.80
  6. Step 6: Final answer
    x = 1,459.38

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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.