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Finding the Fourth Proportional to 2,427.64, 3,641.64 and 696.25

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Solution

The fourth proportional to 2,427.64, 3,641.64 and 696.25 is: 1,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.64 : 3,641.64 = 696.25 : x
  2. Step 2: Convert to fraction form
    2,427.64/3,641.64 = 696.25/x
  3. Step 3: Cross multiply
    2,427.64x = 3,641.64 × 696.25
  4. Step 4: Simplify right side
    2,427.64x = 2,535,491.85
  5. Step 5: Solve for x
    x = 2,535,491.85/2,427.64
  6. Step 6: Final answer
    x = 1,044.43

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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.