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Finding the Fourth Proportional to 1,648.68, 2,273.22 and 1,059.24

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Solution

The fourth proportional to 1,648.68, 2,273.22 and 1,059.24 is: 1,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.68 : 2,273.22 = 1,059.24 : x
  2. Step 2: Convert to fraction form
    1,648.68/2,273.22 = 1,059.24/x
  3. Step 3: Cross multiply
    1,648.68x = 2,273.22 × 1,059.24
  4. Step 4: Simplify right side
    1,648.68x = 2,407,885.55
  5. Step 5: Solve for x
    x = 2,407,885.55/1,648.68
  6. Step 6: Final answer
    x = 1,460.49

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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.