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Finding the Fourth Proportional to 3,098.99, 4,276.64 and 1,682.69

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Solution

The fourth proportional to 3,098.99, 4,276.64 and 1,682.69 is: 2,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.99 : 4,276.64 = 1,682.69 : x
  2. Step 2: Convert to fraction form
    3,098.99/4,276.64 = 1,682.69/x
  3. Step 3: Cross multiply
    3,098.99x = 4,276.64 × 1,682.69
  4. Step 4: Simplify right side
    3,098.99x = 7,196,245.60
  5. Step 5: Solve for x
    x = 7,196,245.60/3,098.99
  6. Step 6: Final answer
    x = 2,322.13

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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.