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Finding the Fourth Proportional to 1,983.29, 2,974.93 and 750.57

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Solution

The fourth proportional to 1,983.29, 2,974.93 and 750.57 is: 1,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.29 : 2,974.93 = 750.57 : x
  2. Step 2: Convert to fraction form
    1,983.29/2,974.93 = 750.57/x
  3. Step 3: Cross multiply
    1,983.29x = 2,974.93 × 750.57
  4. Step 4: Simplify right side
    1,983.29x = 2,232,880.18
  5. Step 5: Solve for x
    x = 2,232,880.18/1,983.29
  6. Step 6: Final answer
    x = 1,125.85

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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.