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Finding the Fourth Proportional to 1,491.63, 2,057.71 and 1,212.18

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Solution

The fourth proportional to 1,491.63, 2,057.71 and 1,212.18 is: 1,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.63 : 2,057.71 = 1,212.18 : x
  2. Step 2: Convert to fraction form
    1,491.63/2,057.71 = 1,212.18/x
  3. Step 3: Cross multiply
    1,491.63x = 2,057.71 × 1,212.18
  4. Step 4: Simplify right side
    1,491.63x = 2,494,314.91
  5. Step 5: Solve for x
    x = 2,494,314.91/1,491.63
  6. Step 6: Final answer
    x = 1,672.21

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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.