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Finding the Fourth Proportional to 2,296.49, 3,169.67 and 1,302.08

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Solution

The fourth proportional to 2,296.49, 3,169.67 and 1,302.08 is: 1,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.49 : 3,169.67 = 1,302.08 : x
  2. Step 2: Convert to fraction form
    2,296.49/3,169.67 = 1,302.08/x
  3. Step 3: Cross multiply
    2,296.49x = 3,169.67 × 1,302.08
  4. Step 4: Simplify right side
    2,296.49x = 4,127,141.55
  5. Step 5: Solve for x
    x = 4,127,141.55/2,296.49
  6. Step 6: Final answer
    x = 1,797.16

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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.