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Finding the Fourth Proportional to 2,160.06, 3,239.28 and 1,005

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Solution

The fourth proportional to 2,160.06, 3,239.28 and 1,005 is: 1,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.06 : 3,239.28 = 1,005 : x
  2. Step 2: Convert to fraction form
    2,160.06/3,239.28 = 1,005/x
  3. Step 3: Cross multiply
    2,160.06x = 3,239.28 × 1,005
  4. Step 4: Simplify right side
    2,160.06x = 3,255,476.40
  5. Step 5: Solve for x
    x = 3,255,476.40/2,160.06
  6. Step 6: Final answer
    x = 1,507.12

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Why These Related Problems?

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