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Finding the Fourth Proportional to 2,362.74, 3,246.89 and 2,254.33

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Solution

The fourth proportional to 2,362.74, 3,246.89 and 2,254.33 is: 3,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.74 : 3,246.89 = 2,254.33 : x
  2. Step 2: Convert to fraction form
    2,362.74/3,246.89 = 2,254.33/x
  3. Step 3: Cross multiply
    2,362.74x = 3,246.89 × 2,254.33
  4. Step 4: Simplify right side
    2,362.74x = 7,319,554.32
  5. Step 5: Solve for x
    x = 7,319,554.32/2,362.74
  6. Step 6: Final answer
    x = 3,097.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.