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Finding the Fourth Proportional to 2,383.32, 3,579.84 and 1,833.60

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Solution

The fourth proportional to 2,383.32, 3,579.84 and 1,833.60 is: 2,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.32 : 3,579.84 = 1,833.60 : x
  2. Step 2: Convert to fraction form
    2,383.32/3,579.84 = 1,833.60/x
  3. Step 3: Cross multiply
    2,383.32x = 3,579.84 × 1,833.60
  4. Step 4: Simplify right side
    2,383.32x = 6,563,994.62
  5. Step 5: Solve for x
    x = 6,563,994.62/2,383.32
  6. Step 6: Final answer
    x = 2,754.14

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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.