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Finding the Fourth Proportional to 2,966.54, 4,089.11 and 2,336.07

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Solution

The fourth proportional to 2,966.54, 4,089.11 and 2,336.07 is: 3,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.54 : 4,089.11 = 2,336.07 : x
  2. Step 2: Convert to fraction form
    2,966.54/4,089.11 = 2,336.07/x
  3. Step 3: Cross multiply
    2,966.54x = 4,089.11 × 2,336.07
  4. Step 4: Simplify right side
    2,966.54x = 9,552,453.04
  5. Step 5: Solve for x
    x = 9,552,453.04/2,966.54
  6. Step 6: Final answer
    x = 3,220.06

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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.