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Finding the Fourth Proportional to 2,023.37, 3,035.20 and 688.63

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Solution

The fourth proportional to 2,023.37, 3,035.20 and 688.63 is: 1,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.37 : 3,035.20 = 688.63 : x
  2. Step 2: Convert to fraction form
    2,023.37/3,035.20 = 688.63/x
  3. Step 3: Cross multiply
    2,023.37x = 3,035.20 × 688.63
  4. Step 4: Simplify right side
    2,023.37x = 2,090,120.47
  5. Step 5: Solve for x
    x = 2,090,120.47/2,023.37
  6. Step 6: Final answer
    x = 1,032.99

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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.