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Finding the Fourth Proportional to 2,709.76, 4,058.32 and 2,297.44

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Solution

The fourth proportional to 2,709.76, 4,058.32 and 2,297.44 is: 3,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.76 : 4,058.32 = 2,297.44 : x
  2. Step 2: Convert to fraction form
    2,709.76/4,058.32 = 2,297.44/x
  3. Step 3: Cross multiply
    2,709.76x = 4,058.32 × 2,297.44
  4. Step 4: Simplify right side
    2,709.76x = 9,323,746.70
  5. Step 5: Solve for x
    x = 9,323,746.70/2,709.76
  6. Step 6: Final answer
    x = 3,440.80

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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.