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Finding the Fourth Proportional to 2,712.89, 4,068.85 and 764.63

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Solution

The fourth proportional to 2,712.89, 4,068.85 and 764.63 is: 1,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.89 : 4,068.85 = 764.63 : x
  2. Step 2: Convert to fraction form
    2,712.89/4,068.85 = 764.63/x
  3. Step 3: Cross multiply
    2,712.89x = 4,068.85 × 764.63
  4. Step 4: Simplify right side
    2,712.89x = 3,111,164.78
  5. Step 5: Solve for x
    x = 3,111,164.78/2,712.89
  6. Step 6: Final answer
    x = 1,146.81

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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.