Home / 2,281.24-3,423.06-982.36

Finding the Fourth Proportional to 2,281.24, 3,423.06 and 982.36

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Solution

The fourth proportional to 2,281.24, 3,423.06 and 982.36 is: 1,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.24 : 3,423.06 = 982.36 : x
  2. Step 2: Convert to fraction form
    2,281.24/3,423.06 = 982.36/x
  3. Step 3: Cross multiply
    2,281.24x = 3,423.06 × 982.36
  4. Step 4: Simplify right side
    2,281.24x = 3,362,677.22
  5. Step 5: Solve for x
    x = 3,362,677.22/2,281.24
  6. Step 6: Final answer
    x = 1,474.06

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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.