Home / 2,023.85-3,035.93-563.12

Finding the Fourth Proportional to 2,023.85, 3,035.93 and 563.12

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Solution

The fourth proportional to 2,023.85, 3,035.93 and 563.12 is: 844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.85 : 3,035.93 = 563.12 : x
  2. Step 2: Convert to fraction form
    2,023.85/3,035.93 = 563.12/x
  3. Step 3: Cross multiply
    2,023.85x = 3,035.93 × 563.12
  4. Step 4: Simplify right side
    2,023.85x = 1,709,574.91
  5. Step 5: Solve for x
    x = 1,709,574.91/2,023.85
  6. Step 6: Final answer
    x = 844.72

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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.