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Finding the Fourth Proportional to 2,528.35, 3,489.24 and 1,409.30

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Solution

The fourth proportional to 2,528.35, 3,489.24 and 1,409.30 is: 1,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.35 : 3,489.24 = 1,409.30 : x
  2. Step 2: Convert to fraction form
    2,528.35/3,489.24 = 1,409.30/x
  3. Step 3: Cross multiply
    2,528.35x = 3,489.24 × 1,409.30
  4. Step 4: Simplify right side
    2,528.35x = 4,917,385.93
  5. Step 5: Solve for x
    x = 4,917,385.93/2,528.35
  6. Step 6: Final answer
    x = 1,944.90

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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.