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Finding the Fourth Proportional to 2,425.59, 3,638.27 and 694.22

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Solution

The fourth proportional to 2,425.59, 3,638.27 and 694.22 is: 1,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.59 : 3,638.27 = 694.22 : x
  2. Step 2: Convert to fraction form
    2,425.59/3,638.27 = 694.22/x
  3. Step 3: Cross multiply
    2,425.59x = 3,638.27 × 694.22
  4. Step 4: Simplify right side
    2,425.59x = 2,525,743.34
  5. Step 5: Solve for x
    x = 2,525,743.34/2,425.59
  6. Step 6: Final answer
    x = 1,041.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.