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Finding the Fourth Proportional to 2,305.77, 3,459.26 and 1,209.84

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Solution

The fourth proportional to 2,305.77, 3,459.26 and 1,209.84 is: 1,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.77 : 3,459.26 = 1,209.84 : x
  2. Step 2: Convert to fraction form
    2,305.77/3,459.26 = 1,209.84/x
  3. Step 3: Cross multiply
    2,305.77x = 3,459.26 × 1,209.84
  4. Step 4: Simplify right side
    2,305.77x = 4,185,151.12
  5. Step 5: Solve for x
    x = 4,185,151.12/2,305.77
  6. Step 6: Final answer
    x = 1,815.08

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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.