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Finding the Fourth Proportional to 1,491.10, 2,057.67 and 861.57

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Solution

The fourth proportional to 1,491.10, 2,057.67 and 861.57 is: 1,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.10 : 2,057.67 = 861.57 : x
  2. Step 2: Convert to fraction form
    1,491.10/2,057.67 = 861.57/x
  3. Step 3: Cross multiply
    1,491.10x = 2,057.67 × 861.57
  4. Step 4: Simplify right side
    1,491.10x = 1,772,826.74
  5. Step 5: Solve for x
    x = 1,772,826.74/1,491.10
  6. Step 6: Final answer
    x = 1,188.94

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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.