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Finding the Fourth Proportional to 2,784.30, 4,178.48 and 1,323.46

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Solution

The fourth proportional to 2,784.30, 4,178.48 and 1,323.46 is: 1,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.30 : 4,178.48 = 1,323.46 : x
  2. Step 2: Convert to fraction form
    2,784.30/4,178.48 = 1,323.46/x
  3. Step 3: Cross multiply
    2,784.30x = 4,178.48 × 1,323.46
  4. Step 4: Simplify right side
    2,784.30x = 5,530,051.14
  5. Step 5: Solve for x
    x = 5,530,051.14/2,784.30
  6. Step 6: Final answer
    x = 1,986.15

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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.