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Finding the Fourth Proportional to 2,024.43, 3,037.37 and 983.88

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Solution

The fourth proportional to 2,024.43, 3,037.37 and 983.88 is: 1,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.43 : 3,037.37 = 983.88 : x
  2. Step 2: Convert to fraction form
    2,024.43/3,037.37 = 983.88/x
  3. Step 3: Cross multiply
    2,024.43x = 3,037.37 × 983.88
  4. Step 4: Simplify right side
    2,024.43x = 2,988,402.68
  5. Step 5: Solve for x
    x = 2,988,402.68/2,024.43
  6. Step 6: Final answer
    x = 1,476.17

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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.