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Finding the Fourth Proportional to 2,528.96, 3,489 and 1,533.56

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Solution

The fourth proportional to 2,528.96, 3,489 and 1,533.56 is: 2,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.96 : 3,489 = 1,533.56 : x
  2. Step 2: Convert to fraction form
    2,528.96/3,489 = 1,533.56/x
  3. Step 3: Cross multiply
    2,528.96x = 3,489 × 1,533.56
  4. Step 4: Simplify right side
    2,528.96x = 5,350,590.84
  5. Step 5: Solve for x
    x = 5,350,590.84/2,528.96
  6. Step 6: Final answer
    x = 2,115.73

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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.