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Finding the Fourth Proportional to 2,023.70, 3,035.77 and 637.22

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Solution

The fourth proportional to 2,023.70, 3,035.77 and 637.22 is: 955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.70 : 3,035.77 = 637.22 : x
  2. Step 2: Convert to fraction form
    2,023.70/3,035.77 = 637.22/x
  3. Step 3: Cross multiply
    2,023.70x = 3,035.77 × 637.22
  4. Step 4: Simplify right side
    2,023.70x = 1,934,459.36
  5. Step 5: Solve for x
    x = 1,934,459.36/2,023.70
  6. Step 6: Final answer
    x = 955.90

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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.