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Finding the Fourth Proportional to 2,386.38, 3,579.63 and 655

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Solution

The fourth proportional to 2,386.38, 3,579.63 and 655 is: 982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.38 : 3,579.63 = 655 : x
  2. Step 2: Convert to fraction form
    2,386.38/3,579.63 = 655/x
  3. Step 3: Cross multiply
    2,386.38x = 3,579.63 × 655
  4. Step 4: Simplify right side
    2,386.38x = 2,344,657.65
  5. Step 5: Solve for x
    x = 2,344,657.65/2,386.38
  6. Step 6: Final answer
    x = 982.52

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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.