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Finding the Fourth Proportional to 4,603.55, 6,905.79 and 1,682.69

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Solution

The fourth proportional to 4,603.55, 6,905.79 and 1,682.69 is: 2,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.55 : 6,905.79 = 1,682.69 : x
  2. Step 2: Convert to fraction form
    4,603.55/6,905.79 = 1,682.69/x
  3. Step 3: Cross multiply
    4,603.55x = 6,905.79 × 1,682.69
  4. Step 4: Simplify right side
    4,603.55x = 11,620,269.25
  5. Step 5: Solve for x
    x = 11,620,269.25/4,603.55
  6. Step 6: Final answer
    x = 2,524.20

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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.