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Finding the Fourth Proportional to 1,657.53, 2,286.27 and 1,027.67

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Solution

The fourth proportional to 1,657.53, 2,286.27 and 1,027.67 is: 1,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.53 : 2,286.27 = 1,027.67 : x
  2. Step 2: Convert to fraction form
    1,657.53/2,286.27 = 1,027.67/x
  3. Step 3: Cross multiply
    1,657.53x = 2,286.27 × 1,027.67
  4. Step 4: Simplify right side
    1,657.53x = 2,349,519.66
  5. Step 5: Solve for x
    x = 2,349,519.66/1,657.53
  6. Step 6: Final answer
    x = 1,417.48

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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.