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Finding the Fourth Proportional to 2,528.58, 3,489.60 and 1,409.50

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Solution

The fourth proportional to 2,528.58, 3,489.60 and 1,409.50 is: 1,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.58 : 3,489.60 = 1,409.50 : x
  2. Step 2: Convert to fraction form
    2,528.58/3,489.60 = 1,409.50/x
  3. Step 3: Cross multiply
    2,528.58x = 3,489.60 × 1,409.50
  4. Step 4: Simplify right side
    2,528.58x = 4,918,591.20
  5. Step 5: Solve for x
    x = 4,918,591.20/2,528.58
  6. Step 6: Final answer
    x = 1,945.20

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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.