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Finding the Fourth Proportional to 2,599.34, 3,898.90 and 955.77

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Solution

The fourth proportional to 2,599.34, 3,898.90 and 955.77 is: 1,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.34 : 3,898.90 = 955.77 : x
  2. Step 2: Convert to fraction form
    2,599.34/3,898.90 = 955.77/x
  3. Step 3: Cross multiply
    2,599.34x = 3,898.90 × 955.77
  4. Step 4: Simplify right side
    2,599.34x = 3,726,451.65
  5. Step 5: Solve for x
    x = 3,726,451.65/2,599.34
  6. Step 6: Final answer
    x = 1,433.61

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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.