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Finding the Fourth Proportional to 1,893.81, 2,613.56 and 1,427.25

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Solution

The fourth proportional to 1,893.81, 2,613.56 and 1,427.25 is: 1,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.81 : 2,613.56 = 1,427.25 : x
  2. Step 2: Convert to fraction form
    1,893.81/2,613.56 = 1,427.25/x
  3. Step 3: Cross multiply
    1,893.81x = 2,613.56 × 1,427.25
  4. Step 4: Simplify right side
    1,893.81x = 3,730,196.37
  5. Step 5: Solve for x
    x = 3,730,196.37/1,893.81
  6. Step 6: Final answer
    x = 1,969.68

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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.