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Finding the Fourth Proportional to 3,078.66, 4,617.70 and 1,597.80

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Solution

The fourth proportional to 3,078.66, 4,617.70 and 1,597.80 is: 2,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.66 : 4,617.70 = 1,597.80 : x
  2. Step 2: Convert to fraction form
    3,078.66/4,617.70 = 1,597.80/x
  3. Step 3: Cross multiply
    3,078.66x = 4,617.70 × 1,597.80
  4. Step 4: Simplify right side
    3,078.66x = 7,378,161.06
  5. Step 5: Solve for x
    x = 7,378,161.06/3,078.66
  6. Step 6: Final answer
    x = 2,396.55

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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.