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Finding the Fourth Proportional to 2,927.69, 4,393.36 and 1,196.32

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Solution

The fourth proportional to 2,927.69, 4,393.36 and 1,196.32 is: 1,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.69 : 4,393.36 = 1,196.32 : x
  2. Step 2: Convert to fraction form
    2,927.69/4,393.36 = 1,196.32/x
  3. Step 3: Cross multiply
    2,927.69x = 4,393.36 × 1,196.32
  4. Step 4: Simplify right side
    2,927.69x = 5,255,866.55
  5. Step 5: Solve for x
    x = 5,255,866.55/2,927.69
  6. Step 6: Final answer
    x = 1,795.22

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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.