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Finding the Fourth Proportional to 1,872.79, 2,584.42 and 1,033.59

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Solution

The fourth proportional to 1,872.79, 2,584.42 and 1,033.59 is: 1,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.79 : 2,584.42 = 1,033.59 : x
  2. Step 2: Convert to fraction form
    1,872.79/2,584.42 = 1,033.59/x
  3. Step 3: Cross multiply
    1,872.79x = 2,584.42 × 1,033.59
  4. Step 4: Simplify right side
    1,872.79x = 2,671,230.67
  5. Step 5: Solve for x
    x = 2,671,230.67/1,872.79
  6. Step 6: Final answer
    x = 1,426.34

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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.