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Finding the Fourth Proportional to 2,508.25, 3,762.61 and 659.38

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Solution

The fourth proportional to 2,508.25, 3,762.61 and 659.38 is: 989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.25 : 3,762.61 = 659.38 : x
  2. Step 2: Convert to fraction form
    2,508.25/3,762.61 = 659.38/x
  3. Step 3: Cross multiply
    2,508.25x = 3,762.61 × 659.38
  4. Step 4: Simplify right side
    2,508.25x = 2,480,985.13
  5. Step 5: Solve for x
    x = 2,480,985.13/2,508.25
  6. Step 6: Final answer
    x = 989.13

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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.