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Finding the Fourth Proportional to 1,809.60, 2,709.75 and 1,551.30

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Solution

The fourth proportional to 1,809.60, 2,709.75 and 1,551.30 is: 2,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.60 : 2,709.75 = 1,551.30 : x
  2. Step 2: Convert to fraction form
    1,809.60/2,709.75 = 1,551.30/x
  3. Step 3: Cross multiply
    1,809.60x = 2,709.75 × 1,551.30
  4. Step 4: Simplify right side
    1,809.60x = 4,203,635.18
  5. Step 5: Solve for x
    x = 4,203,635.18/1,809.60
  6. Step 6: Final answer
    x = 2,322.96

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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.