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Finding the Fourth Proportional to 2,292.66, 3,164.01 and 1,297.98

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Solution

The fourth proportional to 2,292.66, 3,164.01 and 1,297.98 is: 1,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.66 : 3,164.01 = 1,297.98 : x
  2. Step 2: Convert to fraction form
    2,292.66/3,164.01 = 1,297.98/x
  3. Step 3: Cross multiply
    2,292.66x = 3,164.01 × 1,297.98
  4. Step 4: Simplify right side
    2,292.66x = 4,106,821.70
  5. Step 5: Solve for x
    x = 4,106,821.70/2,292.66
  6. Step 6: Final answer
    x = 1,791.29

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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.