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Finding the Fourth Proportional to 2,406.54, 3,613.18 and 1,368.56

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Solution

The fourth proportional to 2,406.54, 3,613.18 and 1,368.56 is: 2,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.54 : 3,613.18 = 1,368.56 : x
  2. Step 2: Convert to fraction form
    2,406.54/3,613.18 = 1,368.56/x
  3. Step 3: Cross multiply
    2,406.54x = 3,613.18 × 1,368.56
  4. Step 4: Simplify right side
    2,406.54x = 4,944,853.62
  5. Step 5: Solve for x
    x = 4,944,853.62/2,406.54
  6. Step 6: Final answer
    x = 2,054.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.