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Finding the Fourth Proportional to 2,495.80, 3,744.06 and 1,035.64

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Solution

The fourth proportional to 2,495.80, 3,744.06 and 1,035.64 is: 1,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.80 : 3,744.06 = 1,035.64 : x
  2. Step 2: Convert to fraction form
    2,495.80/3,744.06 = 1,035.64/x
  3. Step 3: Cross multiply
    2,495.80x = 3,744.06 × 1,035.64
  4. Step 4: Simplify right side
    2,495.80x = 3,877,498.30
  5. Step 5: Solve for x
    x = 3,877,498.30/2,495.80
  6. Step 6: Final answer
    x = 1,553.61

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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.