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Finding the Fourth Proportional to 2,024.91, 3,035.04 and 929.39

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Solution

The fourth proportional to 2,024.91, 3,035.04 and 929.39 is: 1,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.91 : 3,035.04 = 929.39 : x
  2. Step 2: Convert to fraction form
    2,024.91/3,035.04 = 929.39/x
  3. Step 3: Cross multiply
    2,024.91x = 3,035.04 × 929.39
  4. Step 4: Simplify right side
    2,024.91x = 2,820,735.83
  5. Step 5: Solve for x
    x = 2,820,735.83/2,024.91
  6. Step 6: Final answer
    x = 1,393.02

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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.