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Finding the Fourth Proportional to 2,412.56, 3,352.94 and 2,386.64

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Solution

The fourth proportional to 2,412.56, 3,352.94 and 2,386.64 is: 3,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.56 : 3,352.94 = 2,386.64 : x
  2. Step 2: Convert to fraction form
    2,412.56/3,352.94 = 2,386.64/x
  3. Step 3: Cross multiply
    2,412.56x = 3,352.94 × 2,386.64
  4. Step 4: Simplify right side
    2,412.56x = 8,002,260.72
  5. Step 5: Solve for x
    x = 8,002,260.72/2,412.56
  6. Step 6: Final answer
    x = 3,316.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.