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Finding the Fourth Proportional to 1,614.01, 2,416.47 and 1,027.57

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Solution

The fourth proportional to 1,614.01, 2,416.47 and 1,027.57 is: 1,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.01 : 2,416.47 = 1,027.57 : x
  2. Step 2: Convert to fraction form
    1,614.01/2,416.47 = 1,027.57/x
  3. Step 3: Cross multiply
    1,614.01x = 2,416.47 × 1,027.57
  4. Step 4: Simplify right side
    1,614.01x = 2,483,092.08
  5. Step 5: Solve for x
    x = 2,483,092.08/1,614.01
  6. Step 6: Final answer
    x = 1,538.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.