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Finding the Fourth Proportional to 1,491.07, 2,057.77 and 861.71

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Solution

The fourth proportional to 1,491.07, 2,057.77 and 861.71 is: 1,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.07 : 2,057.77 = 861.71 : x
  2. Step 2: Convert to fraction form
    1,491.07/2,057.77 = 861.71/x
  3. Step 3: Cross multiply
    1,491.07x = 2,057.77 × 861.71
  4. Step 4: Simplify right side
    1,491.07x = 1,773,191.53
  5. Step 5: Solve for x
    x = 1,773,191.53/1,491.07
  6. Step 6: Final answer
    x = 1,189.21

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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.