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Finding the Fourth Proportional to 6,030.78, 9,046.08 and 1,648.23

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Solution

The fourth proportional to 6,030.78, 9,046.08 and 1,648.23 is: 2,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.78 : 9,046.08 = 1,648.23 : x
  2. Step 2: Convert to fraction form
    6,030.78/9,046.08 = 1,648.23/x
  3. Step 3: Cross multiply
    6,030.78x = 9,046.08 × 1,648.23
  4. Step 4: Simplify right side
    6,030.78x = 14,910,020.44
  5. Step 5: Solve for x
    x = 14,910,020.44/6,030.78
  6. Step 6: Final answer
    x = 2,472.32

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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.