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Finding the Fourth Proportional to 1,847.59, 2,548.79 and 1,427.50

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Solution

The fourth proportional to 1,847.59, 2,548.79 and 1,427.50 is: 1,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.59 : 2,548.79 = 1,427.50 : x
  2. Step 2: Convert to fraction form
    1,847.59/2,548.79 = 1,427.50/x
  3. Step 3: Cross multiply
    1,847.59x = 2,548.79 × 1,427.50
  4. Step 4: Simplify right side
    1,847.59x = 3,638,397.73
  5. Step 5: Solve for x
    x = 3,638,397.73/1,847.59
  6. Step 6: Final answer
    x = 1,969.27

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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.