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Finding the Fourth Proportional to 2,477.41, 3,416.86 and 2,105.62

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Solution

The fourth proportional to 2,477.41, 3,416.86 and 2,105.62 is: 2,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.41 : 3,416.86 = 2,105.62 : x
  2. Step 2: Convert to fraction form
    2,477.41/3,416.86 = 2,105.62/x
  3. Step 3: Cross multiply
    2,477.41x = 3,416.86 × 2,105.62
  4. Step 4: Simplify right side
    2,477.41x = 7,194,608.75
  5. Step 5: Solve for x
    x = 7,194,608.75/2,477.41
  6. Step 6: Final answer
    x = 2,904.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.