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Finding the Fourth Proportional to 2,774.96, 4,162.19 and 1,109.01

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Solution

The fourth proportional to 2,774.96, 4,162.19 and 1,109.01 is: 1,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.96 : 4,162.19 = 1,109.01 : x
  2. Step 2: Convert to fraction form
    2,774.96/4,162.19 = 1,109.01/x
  3. Step 3: Cross multiply
    2,774.96x = 4,162.19 × 1,109.01
  4. Step 4: Simplify right side
    2,774.96x = 4,615,904.79
  5. Step 5: Solve for x
    x = 4,615,904.79/2,774.96
  6. Step 6: Final answer
    x = 1,663.42

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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.