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Finding the Fourth Proportional to 2,600.18, 3,897.84 and 956.29

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Solution

The fourth proportional to 2,600.18, 3,897.84 and 956.29 is: 1,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.18 : 3,897.84 = 956.29 : x
  2. Step 2: Convert to fraction form
    2,600.18/3,897.84 = 956.29/x
  3. Step 3: Cross multiply
    2,600.18x = 3,897.84 × 956.29
  4. Step 4: Simplify right side
    2,600.18x = 3,727,455.67
  5. Step 5: Solve for x
    x = 3,727,455.67/2,600.18
  6. Step 6: Final answer
    x = 1,433.54

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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.