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Finding the Fourth Proportional to 1,866.89, 2,794.59 and 1,427.06

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Solution

The fourth proportional to 1,866.89, 2,794.59 and 1,427.06 is: 2,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.89 : 2,794.59 = 1,427.06 : x
  2. Step 2: Convert to fraction form
    1,866.89/2,794.59 = 1,427.06/x
  3. Step 3: Cross multiply
    1,866.89x = 2,794.59 × 1,427.06
  4. Step 4: Simplify right side
    1,866.89x = 3,988,033.63
  5. Step 5: Solve for x
    x = 3,988,033.63/1,866.89
  6. Step 6: Final answer
    x = 2,136.20

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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.