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Finding the Fourth Proportional to 1,192.52, 1,778.73 and 1,156.07

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Solution

The fourth proportional to 1,192.52, 1,778.73 and 1,156.07 is: 1,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.52 : 1,778.73 = 1,156.07 : x
  2. Step 2: Convert to fraction form
    1,192.52/1,778.73 = 1,156.07/x
  3. Step 3: Cross multiply
    1,192.52x = 1,778.73 × 1,156.07
  4. Step 4: Simplify right side
    1,192.52x = 2,056,336.39
  5. Step 5: Solve for x
    x = 2,056,336.39/1,192.52
  6. Step 6: Final answer
    x = 1,724.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.