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Finding the Fourth Proportional to 1,768.83, 2,655.06 and 1,076.28

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Solution

The fourth proportional to 1,768.83, 2,655.06 and 1,076.28 is: 1,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.83 : 2,655.06 = 1,076.28 : x
  2. Step 2: Convert to fraction form
    1,768.83/2,655.06 = 1,076.28/x
  3. Step 3: Cross multiply
    1,768.83x = 2,655.06 × 1,076.28
  4. Step 4: Simplify right side
    1,768.83x = 2,857,587.98
  5. Step 5: Solve for x
    x = 2,857,587.98/1,768.83
  6. Step 6: Final answer
    x = 1,615.52

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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.