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Finding the Fourth Proportional to 2,023.63, 3,035.43 and 562.77

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Solution

The fourth proportional to 2,023.63, 3,035.43 and 562.77 is: 844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.63 : 3,035.43 = 562.77 : x
  2. Step 2: Convert to fraction form
    2,023.63/3,035.43 = 562.77/x
  3. Step 3: Cross multiply
    2,023.63x = 3,035.43 × 562.77
  4. Step 4: Simplify right side
    2,023.63x = 1,708,248.94
  5. Step 5: Solve for x
    x = 1,708,248.94/2,023.63
  6. Step 6: Final answer
    x = 844.15

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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.