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Finding the Fourth Proportional to 2,283.98, 3,164.93 and 2,145.26

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Solution

The fourth proportional to 2,283.98, 3,164.93 and 2,145.26 is: 2,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.98 : 3,164.93 = 2,145.26 : x
  2. Step 2: Convert to fraction form
    2,283.98/3,164.93 = 2,145.26/x
  3. Step 3: Cross multiply
    2,283.98x = 3,164.93 × 2,145.26
  4. Step 4: Simplify right side
    2,283.98x = 6,789,597.73
  5. Step 5: Solve for x
    x = 6,789,597.73/2,283.98
  6. Step 6: Final answer
    x = 2,972.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.