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Finding the Fourth Proportional to 1,491.23, 2,057.67 and 861.46

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Solution

The fourth proportional to 1,491.23, 2,057.67 and 861.46 is: 1,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.23 : 2,057.67 = 861.46 : x
  2. Step 2: Convert to fraction form
    1,491.23/2,057.67 = 861.46/x
  3. Step 3: Cross multiply
    1,491.23x = 2,057.67 × 861.46
  4. Step 4: Simplify right side
    1,491.23x = 1,772,595.25
  5. Step 5: Solve for x
    x = 1,772,595.25/1,491.23
  6. Step 6: Final answer
    x = 1,188.68

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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.