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Finding the Fourth Proportional to 2,847.80, 3,927.90 and 1,784.72

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Solution

The fourth proportional to 2,847.80, 3,927.90 and 1,784.72 is: 2,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.80 : 3,927.90 = 1,784.72 : x
  2. Step 2: Convert to fraction form
    2,847.80/3,927.90 = 1,784.72/x
  3. Step 3: Cross multiply
    2,847.80x = 3,927.90 × 1,784.72
  4. Step 4: Simplify right side
    2,847.80x = 7,010,201.69
  5. Step 5: Solve for x
    x = 7,010,201.69/2,847.80
  6. Step 6: Final answer
    x = 2,461.62

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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.