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Finding the Fourth Proportional to 2,655.16, 3,662.16 and 2,340.16

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Solution

The fourth proportional to 2,655.16, 3,662.16 and 2,340.16 is: 3,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.16 : 3,662.16 = 2,340.16 : x
  2. Step 2: Convert to fraction form
    2,655.16/3,662.16 = 2,340.16/x
  3. Step 3: Cross multiply
    2,655.16x = 3,662.16 × 2,340.16
  4. Step 4: Simplify right side
    2,655.16x = 8,570,040.35
  5. Step 5: Solve for x
    x = 8,570,040.35/2,655.16
  6. Step 6: Final answer
    x = 3,227.69

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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.