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Finding the Fourth Proportional to 2,670.30, 3,684.29 and 1,491.24

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Solution

The fourth proportional to 2,670.30, 3,684.29 and 1,491.24 is: 2,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.30 : 3,684.29 = 1,491.24 : x
  2. Step 2: Convert to fraction form
    2,670.30/3,684.29 = 1,491.24/x
  3. Step 3: Cross multiply
    2,670.30x = 3,684.29 × 1,491.24
  4. Step 4: Simplify right side
    2,670.30x = 5,494,166.98
  5. Step 5: Solve for x
    x = 5,494,166.98/2,670.30
  6. Step 6: Final answer
    x = 2,057.51

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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.