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Finding the Fourth Proportional to 3,460.69, 5,190.98 and 1,610.77

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Solution

The fourth proportional to 3,460.69, 5,190.98 and 1,610.77 is: 2,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.69 : 5,190.98 = 1,610.77 : x
  2. Step 2: Convert to fraction form
    3,460.69/5,190.98 = 1,610.77/x
  3. Step 3: Cross multiply
    3,460.69x = 5,190.98 × 1,610.77
  4. Step 4: Simplify right side
    3,460.69x = 8,361,465.90
  5. Step 5: Solve for x
    x = 8,361,465.90/3,460.69
  6. Step 6: Final answer
    x = 2,416.13

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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.