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Finding the Fourth Proportional to 2,599.43, 3,898.26 and 749.93

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Solution

The fourth proportional to 2,599.43, 3,898.26 and 749.93 is: 1,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.43 : 3,898.26 = 749.93 : x
  2. Step 2: Convert to fraction form
    2,599.43/3,898.26 = 749.93/x
  3. Step 3: Cross multiply
    2,599.43x = 3,898.26 × 749.93
  4. Step 4: Simplify right side
    2,599.43x = 2,923,402.63
  5. Step 5: Solve for x
    x = 2,923,402.63/2,599.43
  6. Step 6: Final answer
    x = 1,124.63

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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.