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Finding the Fourth Proportional to 2,160.90, 3,239.36 and 699.30

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Solution

The fourth proportional to 2,160.90, 3,239.36 and 699.30 is: 1,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.90 : 3,239.36 = 699.30 : x
  2. Step 2: Convert to fraction form
    2,160.90/3,239.36 = 699.30/x
  3. Step 3: Cross multiply
    2,160.90x = 3,239.36 × 699.30
  4. Step 4: Simplify right side
    2,160.90x = 2,265,284.45
  5. Step 5: Solve for x
    x = 2,265,284.45/2,160.90
  6. Step 6: Final answer
    x = 1,048.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.