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Finding the Fourth Proportional to 2,619.63, 3,613.65 and 2,029.14

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Solution

The fourth proportional to 2,619.63, 3,613.65 and 2,029.14 is: 2,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.63 : 3,613.65 = 2,029.14 : x
  2. Step 2: Convert to fraction form
    2,619.63/3,613.65 = 2,029.14/x
  3. Step 3: Cross multiply
    2,619.63x = 3,613.65 × 2,029.14
  4. Step 4: Simplify right side
    2,619.63x = 7,332,601.76
  5. Step 5: Solve for x
    x = 7,332,601.76/2,619.63
  6. Step 6: Final answer
    x = 2,799.10

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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.