Home / 2,024.13-3,034.31-983.37

Finding the Fourth Proportional to 2,024.13, 3,034.31 and 983.37

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Solution

The fourth proportional to 2,024.13, 3,034.31 and 983.37 is: 1,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.13 : 3,034.31 = 983.37 : x
  2. Step 2: Convert to fraction form
    2,024.13/3,034.31 = 983.37/x
  3. Step 3: Cross multiply
    2,024.13x = 3,034.31 × 983.37
  4. Step 4: Simplify right side
    2,024.13x = 2,983,844.51
  5. Step 5: Solve for x
    x = 2,983,844.51/2,024.13
  6. Step 6: Final answer
    x = 1,474.14

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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.