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Finding the Fourth Proportional to 1,858.06, 2,787.42 and 885.22

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Solution

The fourth proportional to 1,858.06, 2,787.42 and 885.22 is: 1,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.06 : 2,787.42 = 885.22 : x
  2. Step 2: Convert to fraction form
    1,858.06/2,787.42 = 885.22/x
  3. Step 3: Cross multiply
    1,858.06x = 2,787.42 × 885.22
  4. Step 4: Simplify right side
    1,858.06x = 2,467,479.93
  5. Step 5: Solve for x
    x = 2,467,479.93/1,858.06
  6. Step 6: Final answer
    x = 1,327.99

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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.