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Finding the Fourth Proportional to 2,383.17, 3,575.31 and 739.95

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Solution

The fourth proportional to 2,383.17, 3,575.31 and 739.95 is: 1,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.17 : 3,575.31 = 739.95 : x
  2. Step 2: Convert to fraction form
    2,383.17/3,575.31 = 739.95/x
  3. Step 3: Cross multiply
    2,383.17x = 3,575.31 × 739.95
  4. Step 4: Simplify right side
    2,383.17x = 2,645,550.63
  5. Step 5: Solve for x
    x = 2,645,550.63/2,383.17
  6. Step 6: Final answer
    x = 1,110.10

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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.