Home / 2,024.29-3,035.40-984.34

Finding the Fourth Proportional to 2,024.29, 3,035.40 and 984.34

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Solution

The fourth proportional to 2,024.29, 3,035.40 and 984.34 is: 1,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.29 : 3,035.40 = 984.34 : x
  2. Step 2: Convert to fraction form
    2,024.29/3,035.40 = 984.34/x
  3. Step 3: Cross multiply
    2,024.29x = 3,035.40 × 984.34
  4. Step 4: Simplify right side
    2,024.29x = 2,987,865.64
  5. Step 5: Solve for x
    x = 2,987,865.64/2,024.29
  6. Step 6: Final answer
    x = 1,476.01

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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.