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Finding the Fourth Proportional to 2,024.39, 3,035.58 and 984.45

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Solution

The fourth proportional to 2,024.39, 3,035.58 and 984.45 is: 1,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.39 : 3,035.58 = 984.45 : x
  2. Step 2: Convert to fraction form
    2,024.39/3,035.58 = 984.45/x
  3. Step 3: Cross multiply
    2,024.39x = 3,035.58 × 984.45
  4. Step 4: Simplify right side
    2,024.39x = 2,988,384.42
  5. Step 5: Solve for x
    x = 2,988,384.42/2,024.39
  6. Step 6: Final answer
    x = 1,476.19

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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.