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Finding the Fourth Proportional to 3,069.98, 4,607.64 and 1,610.16

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Solution

The fourth proportional to 3,069.98, 4,607.64 and 1,610.16 is: 2,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.98 : 4,607.64 = 1,610.16 : x
  2. Step 2: Convert to fraction form
    3,069.98/4,607.64 = 1,610.16/x
  3. Step 3: Cross multiply
    3,069.98x = 4,607.64 × 1,610.16
  4. Step 4: Simplify right side
    3,069.98x = 7,419,037.62
  5. Step 5: Solve for x
    x = 7,419,037.62/3,069.98
  6. Step 6: Final answer
    x = 2,416.64

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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.