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Finding the Fourth Proportional to 2,490.14, 3,735.77 and 758.63

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Solution

The fourth proportional to 2,490.14, 3,735.77 and 758.63 is: 1,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.14 : 3,735.77 = 758.63 : x
  2. Step 2: Convert to fraction form
    2,490.14/3,735.77 = 758.63/x
  3. Step 3: Cross multiply
    2,490.14x = 3,735.77 × 758.63
  4. Step 4: Simplify right side
    2,490.14x = 2,834,044.72
  5. Step 5: Solve for x
    x = 2,834,044.72/2,490.14
  6. Step 6: Final answer
    x = 1,138.11

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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.