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Finding the Fourth Proportional to 2,044.88, 3,064.76 and 1,610.32

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Solution

The fourth proportional to 2,044.88, 3,064.76 and 1,610.32 is: 2,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.88 : 3,064.76 = 1,610.32 : x
  2. Step 2: Convert to fraction form
    2,044.88/3,064.76 = 1,610.32/x
  3. Step 3: Cross multiply
    2,044.88x = 3,064.76 × 1,610.32
  4. Step 4: Simplify right side
    2,044.88x = 4,935,244.32
  5. Step 5: Solve for x
    x = 4,935,244.32/2,044.88
  6. Step 6: Final answer
    x = 2,413.46

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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.