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Finding the Fourth Proportional to 2,427.36, 3,642.48 and 867.24

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Solution

The fourth proportional to 2,427.36, 3,642.48 and 867.24 is: 1,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.36 : 3,642.48 = 867.24 : x
  2. Step 2: Convert to fraction form
    2,427.36/3,642.48 = 867.24/x
  3. Step 3: Cross multiply
    2,427.36x = 3,642.48 × 867.24
  4. Step 4: Simplify right side
    2,427.36x = 3,158,904.36
  5. Step 5: Solve for x
    x = 3,158,904.36/2,427.36
  6. Step 6: Final answer
    x = 1,301.37

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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.