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Finding the Fourth Proportional to 2,295.27, 3,166.29 and 1,549.26

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Solution

The fourth proportional to 2,295.27, 3,166.29 and 1,549.26 is: 2,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.27 : 3,166.29 = 1,549.26 : x
  2. Step 2: Convert to fraction form
    2,295.27/3,166.29 = 1,549.26/x
  3. Step 3: Cross multiply
    2,295.27x = 3,166.29 × 1,549.26
  4. Step 4: Simplify right side
    2,295.27x = 4,905,406.45
  5. Step 5: Solve for x
    x = 4,905,406.45/2,295.27
  6. Step 6: Final answer
    x = 2,137.18

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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.