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Finding the Fourth Proportional to 1,490.66, 2,057.18 and 861.27

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Solution

The fourth proportional to 1,490.66, 2,057.18 and 861.27 is: 1,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.66 : 2,057.18 = 861.27 : x
  2. Step 2: Convert to fraction form
    1,490.66/2,057.18 = 861.27/x
  3. Step 3: Cross multiply
    1,490.66x = 2,057.18 × 861.27
  4. Step 4: Simplify right side
    1,490.66x = 1,771,783.61
  5. Step 5: Solve for x
    x = 1,771,783.61/1,490.66
  6. Step 6: Final answer
    x = 1,188.59

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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.