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Finding the Fourth Proportional to 2,528.07, 3,793.85 and 884.63

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Solution

The fourth proportional to 2,528.07, 3,793.85 and 884.63 is: 1,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.07 : 3,793.85 = 884.63 : x
  2. Step 2: Convert to fraction form
    2,528.07/3,793.85 = 884.63/x
  3. Step 3: Cross multiply
    2,528.07x = 3,793.85 × 884.63
  4. Step 4: Simplify right side
    2,528.07x = 3,356,130.13
  5. Step 5: Solve for x
    x = 3,356,130.13/2,528.07
  6. Step 6: Final answer
    x = 1,327.55

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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.