Home / 2,024.37-3,038.31-985.14

Finding the Fourth Proportional to 2,024.37, 3,038.31 and 985.14

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Solution

The fourth proportional to 2,024.37, 3,038.31 and 985.14 is: 1,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.37 : 3,038.31 = 985.14 : x
  2. Step 2: Convert to fraction form
    2,024.37/3,038.31 = 985.14/x
  3. Step 3: Cross multiply
    2,024.37x = 3,038.31 × 985.14
  4. Step 4: Simplify right side
    2,024.37x = 2,993,160.71
  5. Step 5: Solve for x
    x = 2,993,160.71/2,024.37
  6. Step 6: Final answer
    x = 1,478.56

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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.