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Finding the Fourth Proportional to 2,709.74, 4,064.52 and 860.96

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Solution

The fourth proportional to 2,709.74, 4,064.52 and 860.96 is: 1,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.74 : 4,064.52 = 860.96 : x
  2. Step 2: Convert to fraction form
    2,709.74/4,064.52 = 860.96/x
  3. Step 3: Cross multiply
    2,709.74x = 4,064.52 × 860.96
  4. Step 4: Simplify right side
    2,709.74x = 3,499,389.14
  5. Step 5: Solve for x
    x = 3,499,389.14/2,709.74
  6. Step 6: Final answer
    x = 1,291.41

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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.