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Finding the Fourth Proportional to 2,646.95, 3,971.01 and 892.02

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Solution

The fourth proportional to 2,646.95, 3,971.01 and 892.02 is: 1,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.95 : 3,971.01 = 892.02 : x
  2. Step 2: Convert to fraction form
    2,646.95/3,971.01 = 892.02/x
  3. Step 3: Cross multiply
    2,646.95x = 3,971.01 × 892.02
  4. Step 4: Simplify right side
    2,646.95x = 3,542,220.34
  5. Step 5: Solve for x
    x = 3,542,220.34/2,646.95
  6. Step 6: Final answer
    x = 1,338.23

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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.