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Finding the Fourth Proportional to 2,319.71, 3,477.87 and 759.21

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Solution

The fourth proportional to 2,319.71, 3,477.87 and 759.21 is: 1,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.71 : 3,477.87 = 759.21 : x
  2. Step 2: Convert to fraction form
    2,319.71/3,477.87 = 759.21/x
  3. Step 3: Cross multiply
    2,319.71x = 3,477.87 × 759.21
  4. Step 4: Simplify right side
    2,319.71x = 2,640,420.64
  5. Step 5: Solve for x
    x = 2,640,420.64/2,319.71
  6. Step 6: Final answer
    x = 1,138.26

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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.