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Finding the Fourth Proportional to 2,558.48, 3,836.10 and 914.72

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Solution

The fourth proportional to 2,558.48, 3,836.10 and 914.72 is: 1,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.48 : 3,836.10 = 914.72 : x
  2. Step 2: Convert to fraction form
    2,558.48/3,836.10 = 914.72/x
  3. Step 3: Cross multiply
    2,558.48x = 3,836.10 × 914.72
  4. Step 4: Simplify right side
    2,558.48x = 3,508,957.39
  5. Step 5: Solve for x
    x = 3,508,957.39/2,558.48
  6. Step 6: Final answer
    x = 1,371.50

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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.