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Finding the Fourth Proportional to 2,383.07, 3,574.95 and 739.76

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Solution

The fourth proportional to 2,383.07, 3,574.95 and 739.76 is: 1,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.07 : 3,574.95 = 739.76 : x
  2. Step 2: Convert to fraction form
    2,383.07/3,574.95 = 739.76/x
  3. Step 3: Cross multiply
    2,383.07x = 3,574.95 × 739.76
  4. Step 4: Simplify right side
    2,383.07x = 2,644,587.14
  5. Step 5: Solve for x
    x = 2,644,587.14/2,383.07
  6. Step 6: Final answer
    x = 1,109.74

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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.