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Finding the Fourth Proportional to 3,019.48, 4,160.64 and 2,427.64

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Solution

The fourth proportional to 3,019.48, 4,160.64 and 2,427.64 is: 3,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.48 : 4,160.64 = 2,427.64 : x
  2. Step 2: Convert to fraction form
    3,019.48/4,160.64 = 2,427.64/x
  3. Step 3: Cross multiply
    3,019.48x = 4,160.64 × 2,427.64
  4. Step 4: Simplify right side
    3,019.48x = 10,100,536.09
  5. Step 5: Solve for x
    x = 10,100,536.09/3,019.48
  6. Step 6: Final answer
    x = 3,345.12

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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.