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Finding the Fourth Proportional to 2,064.74, 3,094.20 and 1,140.71

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Solution

The fourth proportional to 2,064.74, 3,094.20 and 1,140.71 is: 1,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.74 : 3,094.20 = 1,140.71 : x
  2. Step 2: Convert to fraction form
    2,064.74/3,094.20 = 1,140.71/x
  3. Step 3: Cross multiply
    2,064.74x = 3,094.20 × 1,140.71
  4. Step 4: Simplify right side
    2,064.74x = 3,529,584.88
  5. Step 5: Solve for x
    x = 3,529,584.88/2,064.74
  6. Step 6: Final answer
    x = 1,709.46

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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.