Home / 2,024.16-3,035.63-563.42

Finding the Fourth Proportional to 2,024.16, 3,035.63 and 563.42

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Solution

The fourth proportional to 2,024.16, 3,035.63 and 563.42 is: 844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.16 : 3,035.63 = 563.42 : x
  2. Step 2: Convert to fraction form
    2,024.16/3,035.63 = 563.42/x
  3. Step 3: Cross multiply
    2,024.16x = 3,035.63 × 563.42
  4. Step 4: Simplify right side
    2,024.16x = 1,710,316.66
  5. Step 5: Solve for x
    x = 1,710,316.66/2,024.16
  6. Step 6: Final answer
    x = 844.95

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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.