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Finding the Fourth Proportional to 2,023.86, 3,035.79 and 562.98

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Solution

The fourth proportional to 2,023.86, 3,035.79 and 562.98 is: 844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.86 : 3,035.79 = 562.98 : x
  2. Step 2: Convert to fraction form
    2,023.86/3,035.79 = 562.98/x
  3. Step 3: Cross multiply
    2,023.86x = 3,035.79 × 562.98
  4. Step 4: Simplify right side
    2,023.86x = 1,709,089.05
  5. Step 5: Solve for x
    x = 1,709,089.05/2,023.86
  6. Step 6: Final answer
    x = 844.47

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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.