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Finding the Fourth Proportional to 1,872.90, 2,584.59 and 1,033.56

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Solution

The fourth proportional to 1,872.90, 2,584.59 and 1,033.56 is: 1,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.90 : 2,584.59 = 1,033.56 : x
  2. Step 2: Convert to fraction form
    1,872.90/2,584.59 = 1,033.56/x
  3. Step 3: Cross multiply
    1,872.90x = 2,584.59 × 1,033.56
  4. Step 4: Simplify right side
    1,872.90x = 2,671,328.84
  5. Step 5: Solve for x
    x = 2,671,328.84/1,872.90
  6. Step 6: Final answer
    x = 1,426.31

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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.