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Finding the Fourth Proportional to 2,425.04, 3,638.21 and 693.66

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Solution

The fourth proportional to 2,425.04, 3,638.21 and 693.66 is: 1,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.04 : 3,638.21 = 693.66 : x
  2. Step 2: Convert to fraction form
    2,425.04/3,638.21 = 693.66/x
  3. Step 3: Cross multiply
    2,425.04x = 3,638.21 × 693.66
  4. Step 4: Simplify right side
    2,425.04x = 2,523,677.28
  5. Step 5: Solve for x
    x = 2,523,677.28/2,425.04
  6. Step 6: Final answer
    x = 1,040.68

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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.