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Finding the Fourth Proportional to 2,768.01, 4,151.79 and 1,102.07

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Solution

The fourth proportional to 2,768.01, 4,151.79 and 1,102.07 is: 1,653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.01 : 4,151.79 = 1,102.07 : x
  2. Step 2: Convert to fraction form
    2,768.01/4,151.79 = 1,102.07/x
  3. Step 3: Cross multiply
    2,768.01x = 4,151.79 × 1,102.07
  4. Step 4: Simplify right side
    2,768.01x = 4,575,573.58
  5. Step 5: Solve for x
    x = 4,575,573.58/2,768.01
  6. Step 6: Final answer
    x = 1,653.02

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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.