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Finding the Fourth Proportional to 2,160.32, 3,239.79 and 699.13

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Solution

The fourth proportional to 2,160.32, 3,239.79 and 699.13 is: 1,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.32 : 3,239.79 = 699.13 : x
  2. Step 2: Convert to fraction form
    2,160.32/3,239.79 = 699.13/x
  3. Step 3: Cross multiply
    2,160.32x = 3,239.79 × 699.13
  4. Step 4: Simplify right side
    2,160.32x = 2,265,018.18
  5. Step 5: Solve for x
    x = 2,265,018.18/2,160.32
  6. Step 6: Final answer
    x = 1,048.47

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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.