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Finding the Fourth Proportional to 2,618.78, 3,613.74 and 2,409.80

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Solution

The fourth proportional to 2,618.78, 3,613.74 and 2,409.80 is: 3,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.78 : 3,613.74 = 2,409.80 : x
  2. Step 2: Convert to fraction form
    2,618.78/3,613.74 = 2,409.80/x
  3. Step 3: Cross multiply
    2,618.78x = 3,613.74 × 2,409.80
  4. Step 4: Simplify right side
    2,618.78x = 8,708,390.65
  5. Step 5: Solve for x
    x = 8,708,390.65/2,618.78
  6. Step 6: Final answer
    x = 3,325.36

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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.