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Finding the Fourth Proportional to 2,599.96, 3,898.54 and 1,137.41

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Solution

The fourth proportional to 2,599.96, 3,898.54 and 1,137.41 is: 1,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.96 : 3,898.54 = 1,137.41 : x
  2. Step 2: Convert to fraction form
    2,599.96/3,898.54 = 1,137.41/x
  3. Step 3: Cross multiply
    2,599.96x = 3,898.54 × 1,137.41
  4. Step 4: Simplify right side
    2,599.96x = 4,434,238.38
  5. Step 5: Solve for x
    x = 4,434,238.38/2,599.96
  6. Step 6: Final answer
    x = 1,705.50

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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.