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Finding the Fourth Proportional to 1,796.00, 2,478.78 and 1,132.34

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Solution

The fourth proportional to 1,796.00, 2,478.78 and 1,132.34 is: 1,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.00 : 2,478.78 = 1,132.34 : x
  2. Step 2: Convert to fraction form
    1,796.00/2,478.78 = 1,132.34/x
  3. Step 3: Cross multiply
    1,796.00x = 2,478.78 × 1,132.34
  4. Step 4: Simplify right side
    1,796.00x = 2,806,809.35
  5. Step 5: Solve for x
    x = 2,806,809.35/1,796.00
  6. Step 6: Final answer
    x = 1,562.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.