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Finding the Fourth Proportional to 2,783.78, 4,173.81 and 1,670.69

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Solution

The fourth proportional to 2,783.78, 4,173.81 and 1,670.69 is: 2,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.78 : 4,173.81 = 1,670.69 : x
  2. Step 2: Convert to fraction form
    2,783.78/4,173.81 = 1,670.69/x
  3. Step 3: Cross multiply
    2,783.78x = 4,173.81 × 1,670.69
  4. Step 4: Simplify right side
    2,783.78x = 6,973,121.76
  5. Step 5: Solve for x
    x = 6,973,121.76/2,783.78
  6. Step 6: Final answer
    x = 2,504.92

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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.