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Finding the Fourth Proportional to 2,833.13, 4,248.87 and 1,189.64

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Solution

The fourth proportional to 2,833.13, 4,248.87 and 1,189.64 is: 1,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.13 : 4,248.87 = 1,189.64 : x
  2. Step 2: Convert to fraction form
    2,833.13/4,248.87 = 1,189.64/x
  3. Step 3: Cross multiply
    2,833.13x = 4,248.87 × 1,189.64
  4. Step 4: Simplify right side
    2,833.13x = 5,054,604.46
  5. Step 5: Solve for x
    x = 5,054,604.46/2,833.13
  6. Step 6: Final answer
    x = 1,784.11

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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.