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Finding the Fourth Proportional to 1,872.46, 2,583.99 and 1,033.17

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Solution

The fourth proportional to 1,872.46, 2,583.99 and 1,033.17 is: 1,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.46 : 2,583.99 = 1,033.17 : x
  2. Step 2: Convert to fraction form
    1,872.46/2,583.99 = 1,033.17/x
  3. Step 3: Cross multiply
    1,872.46x = 2,583.99 × 1,033.17
  4. Step 4: Simplify right side
    1,872.46x = 2,669,700.95
  5. Step 5: Solve for x
    x = 2,669,700.95/1,872.46
  6. Step 6: Final answer
    x = 1,425.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.