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Finding the Fourth Proportional to 3,461.65, 4,777.08 and 2,468.66

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Solution

The fourth proportional to 3,461.65, 4,777.08 and 2,468.66 is: 3,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.65 : 4,777.08 = 2,468.66 : x
  2. Step 2: Convert to fraction form
    3,461.65/4,777.08 = 2,468.66/x
  3. Step 3: Cross multiply
    3,461.65x = 4,777.08 × 2,468.66
  4. Step 4: Simplify right side
    3,461.65x = 11,792,986.31
  5. Step 5: Solve for x
    x = 11,792,986.31/3,461.65
  6. Step 6: Final answer
    x = 3,406.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.