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Finding the Fourth Proportional to 2,778.58, 3,832.90 and 1,782.74

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Solution

The fourth proportional to 2,778.58, 3,832.90 and 1,782.74 is: 2,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.58 : 3,832.90 = 1,782.74 : x
  2. Step 2: Convert to fraction form
    2,778.58/3,832.90 = 1,782.74/x
  3. Step 3: Cross multiply
    2,778.58x = 3,832.90 × 1,782.74
  4. Step 4: Simplify right side
    2,778.58x = 6,833,064.15
  5. Step 5: Solve for x
    x = 6,833,064.15/2,778.58
  6. Step 6: Final answer
    x = 2,459.19

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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.