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Finding the Fourth Proportional to 2,425.74, 3,638.59 and 1,603.83

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Solution

The fourth proportional to 2,425.74, 3,638.59 and 1,603.83 is: 2,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.74 : 3,638.59 = 1,603.83 : x
  2. Step 2: Convert to fraction form
    2,425.74/3,638.59 = 1,603.83/x
  3. Step 3: Cross multiply
    2,425.74x = 3,638.59 × 1,603.83
  4. Step 4: Simplify right side
    2,425.74x = 5,835,679.80
  5. Step 5: Solve for x
    x = 5,835,679.80/2,425.74
  6. Step 6: Final answer
    x = 2,405.73

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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.