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Finding the Fourth Proportional to 1,193.48, 1,783.92 and 1,076.14

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Solution

The fourth proportional to 1,193.48, 1,783.92 and 1,076.14 is: 1,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.48 : 1,783.92 = 1,076.14 : x
  2. Step 2: Convert to fraction form
    1,193.48/1,783.92 = 1,076.14/x
  3. Step 3: Cross multiply
    1,193.48x = 1,783.92 × 1,076.14
  4. Step 4: Simplify right side
    1,193.48x = 1,919,743.90
  5. Step 5: Solve for x
    x = 1,919,743.90/1,193.48
  6. Step 6: Final answer
    x = 1,608.52

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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.