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Finding the Fourth Proportional to 2,796.32, 4,192.80 and 1,153.94

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Solution

The fourth proportional to 2,796.32, 4,192.80 and 1,153.94 is: 1,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.32 : 4,192.80 = 1,153.94 : x
  2. Step 2: Convert to fraction form
    2,796.32/4,192.80 = 1,153.94/x
  3. Step 3: Cross multiply
    2,796.32x = 4,192.80 × 1,153.94
  4. Step 4: Simplify right side
    2,796.32x = 4,838,239.63
  5. Step 5: Solve for x
    x = 4,838,239.63/2,796.32
  6. Step 6: Final answer
    x = 1,730.22

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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.