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Finding the Fourth Proportional to 2,528.64, 3,489.35 and 1,409.53

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Solution

The fourth proportional to 2,528.64, 3,489.35 and 1,409.53 is: 1,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.64 : 3,489.35 = 1,409.53 : x
  2. Step 2: Convert to fraction form
    2,528.64/3,489.35 = 1,409.53/x
  3. Step 3: Cross multiply
    2,528.64x = 3,489.35 × 1,409.53
  4. Step 4: Simplify right side
    2,528.64x = 4,918,327.73
  5. Step 5: Solve for x
    x = 4,918,327.73/2,528.64
  6. Step 6: Final answer
    x = 1,945.05

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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.