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Finding the Fourth Proportional to 1,766.71, 2,637.14 and 1,638.21

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Solution

The fourth proportional to 1,766.71, 2,637.14 and 1,638.21 is: 2,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.71 : 2,637.14 = 1,638.21 : x
  2. Step 2: Convert to fraction form
    1,766.71/2,637.14 = 1,638.21/x
  3. Step 3: Cross multiply
    1,766.71x = 2,637.14 × 1,638.21
  4. Step 4: Simplify right side
    1,766.71x = 4,320,189.12
  5. Step 5: Solve for x
    x = 4,320,189.12/1,766.71
  6. Step 6: Final answer
    x = 2,445.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.