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Finding the Fourth Proportional to 6,030.81, 9,046.22 and 1,648.31

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Solution

The fourth proportional to 6,030.81, 9,046.22 and 1,648.31 is: 2,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.81 : 9,046.22 = 1,648.31 : x
  2. Step 2: Convert to fraction form
    6,030.81/9,046.22 = 1,648.31/x
  3. Step 3: Cross multiply
    6,030.81x = 9,046.22 × 1,648.31
  4. Step 4: Simplify right side
    6,030.81x = 14,910,921.42
  5. Step 5: Solve for x
    x = 14,910,921.42/6,030.81
  6. Step 6: Final answer
    x = 2,472.46

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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.