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Finding the Fourth Proportional to 2,709.37, 4,064.22 and 761.74

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Solution

The fourth proportional to 2,709.37, 4,064.22 and 761.74 is: 1,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.37 : 4,064.22 = 761.74 : x
  2. Step 2: Convert to fraction form
    2,709.37/4,064.22 = 761.74/x
  3. Step 3: Cross multiply
    2,709.37x = 4,064.22 × 761.74
  4. Step 4: Simplify right side
    2,709.37x = 3,095,878.94
  5. Step 5: Solve for x
    x = 3,095,878.94/2,709.37
  6. Step 6: Final answer
    x = 1,142.66

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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.