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Finding the Fourth Proportional to 4,605.02, 6,901.77 and 2,297.18

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Solution

The fourth proportional to 4,605.02, 6,901.77 and 2,297.18 is: 3,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.02 : 6,901.77 = 2,297.18 : x
  2. Step 2: Convert to fraction form
    4,605.02/6,901.77 = 2,297.18/x
  3. Step 3: Cross multiply
    4,605.02x = 6,901.77 × 2,297.18
  4. Step 4: Simplify right side
    4,605.02x = 15,854,608.01
  5. Step 5: Solve for x
    x = 15,854,608.01/4,605.02
  6. Step 6: Final answer
    x = 3,442.90

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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.