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Finding the Fourth Proportional to 2,109.81, 3,166.43 and 1,494.10

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Solution

The fourth proportional to 2,109.81, 3,166.43 and 1,494.10 is: 2,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.81 : 3,166.43 = 1,494.10 : x
  2. Step 2: Convert to fraction form
    2,109.81/3,166.43 = 1,494.10/x
  3. Step 3: Cross multiply
    2,109.81x = 3,166.43 × 1,494.10
  4. Step 4: Simplify right side
    2,109.81x = 4,730,963.06
  5. Step 5: Solve for x
    x = 4,730,963.06/2,109.81
  6. Step 6: Final answer
    x = 2,242.36

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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.