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Finding the Fourth Proportional to 2,490.94, 3,735.30 and 759.16

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Solution

The fourth proportional to 2,490.94, 3,735.30 and 759.16 is: 1,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.94 : 3,735.30 = 759.16 : x
  2. Step 2: Convert to fraction form
    2,490.94/3,735.30 = 759.16/x
  3. Step 3: Cross multiply
    2,490.94x = 3,735.30 × 759.16
  4. Step 4: Simplify right side
    2,490.94x = 2,835,690.35
  5. Step 5: Solve for x
    x = 2,835,690.35/2,490.94
  6. Step 6: Final answer
    x = 1,138.40

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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.