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Finding the Fourth Proportional to 1,648.05, 2,471.37 and 607.71

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Solution

The fourth proportional to 1,648.05, 2,471.37 and 607.71 is: 911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.05 : 2,471.37 = 607.71 : x
  2. Step 2: Convert to fraction form
    1,648.05/2,471.37 = 607.71/x
  3. Step 3: Cross multiply
    1,648.05x = 2,471.37 × 607.71
  4. Step 4: Simplify right side
    1,648.05x = 1,501,876.26
  5. Step 5: Solve for x
    x = 1,501,876.26/1,648.05
  6. Step 6: Final answer
    x = 911.31

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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.