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Finding the Fourth Proportional to 2,023.90, 3,035.58 and 562.93

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Solution

The fourth proportional to 2,023.90, 3,035.58 and 562.93 is: 844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.90 : 3,035.58 = 562.93 : x
  2. Step 2: Convert to fraction form
    2,023.90/3,035.58 = 562.93/x
  3. Step 3: Cross multiply
    2,023.90x = 3,035.58 × 562.93
  4. Step 4: Simplify right side
    2,023.90x = 1,708,819.05
  5. Step 5: Solve for x
    x = 1,708,819.05/2,023.90
  6. Step 6: Final answer
    x = 844.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.