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Finding the Fourth Proportional to 3,270.78, 4,509.36 and 2,151.32

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Solution

The fourth proportional to 3,270.78, 4,509.36 and 2,151.32 is: 2,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.78 : 4,509.36 = 2,151.32 : x
  2. Step 2: Convert to fraction form
    3,270.78/4,509.36 = 2,151.32/x
  3. Step 3: Cross multiply
    3,270.78x = 4,509.36 × 2,151.32
  4. Step 4: Simplify right side
    3,270.78x = 9,701,053.81
  5. Step 5: Solve for x
    x = 9,701,053.81/3,270.78
  6. Step 6: Final answer
    x = 2,965.98

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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.