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Finding the Fourth Proportional to 2,296.79, 3,169.83 and 1,412.60

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Solution

The fourth proportional to 2,296.79, 3,169.83 and 1,412.60 is: 1,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.79 : 3,169.83 = 1,412.60 : x
  2. Step 2: Convert to fraction form
    2,296.79/3,169.83 = 1,412.60/x
  3. Step 3: Cross multiply
    2,296.79x = 3,169.83 × 1,412.60
  4. Step 4: Simplify right side
    2,296.79x = 4,477,693.53
  5. Step 5: Solve for x
    x = 4,477,693.53/2,296.79
  6. Step 6: Final answer
    x = 1,949.54

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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.