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Finding the Fourth Proportional to 1,765.77, 2,643.45 and 1,305.60

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Solution

The fourth proportional to 1,765.77, 2,643.45 and 1,305.60 is: 1,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.77 : 2,643.45 = 1,305.60 : x
  2. Step 2: Convert to fraction form
    1,765.77/2,643.45 = 1,305.60/x
  3. Step 3: Cross multiply
    1,765.77x = 2,643.45 × 1,305.60
  4. Step 4: Simplify right side
    1,765.77x = 3,451,288.32
  5. Step 5: Solve for x
    x = 3,451,288.32/1,765.77
  6. Step 6: Final answer
    x = 1,954.55

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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.