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Finding the Fourth Proportional to 3,243.36, 4,866.88 and 2,148.32

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Solution

The fourth proportional to 3,243.36, 4,866.88 and 2,148.32 is: 3,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.36 : 4,866.88 = 2,148.32 : x
  2. Step 2: Convert to fraction form
    3,243.36/4,866.88 = 2,148.32/x
  3. Step 3: Cross multiply
    3,243.36x = 4,866.88 × 2,148.32
  4. Step 4: Simplify right side
    3,243.36x = 10,455,615.64
  5. Step 5: Solve for x
    x = 10,455,615.64/3,243.36
  6. Step 6: Final answer
    x = 3,223.70

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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.