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Finding the Fourth Proportional to 2,670.06, 3,684.86 and 1,491.14

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Solution

The fourth proportional to 2,670.06, 3,684.86 and 1,491.14 is: 2,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.06 : 3,684.86 = 1,491.14 : x
  2. Step 2: Convert to fraction form
    2,670.06/3,684.86 = 1,491.14/x
  3. Step 3: Cross multiply
    2,670.06x = 3,684.86 × 1,491.14
  4. Step 4: Simplify right side
    2,670.06x = 5,494,649.49
  5. Step 5: Solve for x
    x = 5,494,649.49/2,670.06
  6. Step 6: Final answer
    x = 2,057.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.