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Finding the Fourth Proportional to 1,872.35, 2,583.80 and 1,033.12

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Solution

The fourth proportional to 1,872.35, 2,583.80 and 1,033.12 is: 1,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.35 : 2,583.80 = 1,033.12 : x
  2. Step 2: Convert to fraction form
    1,872.35/2,583.80 = 1,033.12/x
  3. Step 3: Cross multiply
    1,872.35x = 2,583.80 × 1,033.12
  4. Step 4: Simplify right side
    1,872.35x = 2,669,377.39
  5. Step 5: Solve for x
    x = 2,669,377.39/1,872.35
  6. Step 6: Final answer
    x = 1,425.68

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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.