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Finding the Fourth Proportional to 2,778.35, 3,833.66 and 1,783.13

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Solution

The fourth proportional to 2,778.35, 3,833.66 and 1,783.13 is: 2,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.35 : 3,833.66 = 1,783.13 : x
  2. Step 2: Convert to fraction form
    2,778.35/3,833.66 = 1,783.13/x
  3. Step 3: Cross multiply
    2,778.35x = 3,833.66 × 1,783.13
  4. Step 4: Simplify right side
    2,778.35x = 6,835,905.24
  5. Step 5: Solve for x
    x = 6,835,905.24/2,778.35
  6. Step 6: Final answer
    x = 2,460.42

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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.