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Finding the Fourth Proportional to 3,107.99, 4,289.60 and 1,781.70

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Solution

The fourth proportional to 3,107.99, 4,289.60 and 1,781.70 is: 2,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.99 : 4,289.60 = 1,781.70 : x
  2. Step 2: Convert to fraction form
    3,107.99/4,289.60 = 1,781.70/x
  3. Step 3: Cross multiply
    3,107.99x = 4,289.60 × 1,781.70
  4. Step 4: Simplify right side
    3,107.99x = 7,642,771.41
  5. Step 5: Solve for x
    x = 7,642,771.41/3,107.99
  6. Step 6: Final answer
    x = 2,459.08

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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.