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Finding the Fourth Proportional to 1,196.98, 1,803.74 and 1,142.30

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Solution

The fourth proportional to 1,196.98, 1,803.74 and 1,142.30 is: 1,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.98 : 1,803.74 = 1,142.30 : x
  2. Step 2: Convert to fraction form
    1,196.98/1,803.74 = 1,142.30/x
  3. Step 3: Cross multiply
    1,196.98x = 1,803.74 × 1,142.30
  4. Step 4: Simplify right side
    1,196.98x = 2,060,411.00
  5. Step 5: Solve for x
    x = 2,060,411.00/1,196.98
  6. Step 6: Final answer
    x = 1,721.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.