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Finding the Fourth Proportional to 2,740.72, 4,111.35 and 766.34

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Solution

The fourth proportional to 2,740.72, 4,111.35 and 766.34 is: 1,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.72 : 4,111.35 = 766.34 : x
  2. Step 2: Convert to fraction form
    2,740.72/4,111.35 = 766.34/x
  3. Step 3: Cross multiply
    2,740.72x = 4,111.35 × 766.34
  4. Step 4: Simplify right side
    2,740.72x = 3,150,688.13
  5. Step 5: Solve for x
    x = 3,150,688.13/2,740.72
  6. Step 6: Final answer
    x = 1,149.59

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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.