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Finding the Fourth Proportional to 2,868.33, 4,302.44 and 788.33

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Solution

The fourth proportional to 2,868.33, 4,302.44 and 788.33 is: 1,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.33 : 4,302.44 = 788.33 : x
  2. Step 2: Convert to fraction form
    2,868.33/4,302.44 = 788.33/x
  3. Step 3: Cross multiply
    2,868.33x = 4,302.44 × 788.33
  4. Step 4: Simplify right side
    2,868.33x = 3,391,720.03
  5. Step 5: Solve for x
    x = 3,391,720.03/2,868.33
  6. Step 6: Final answer
    x = 1,182.47

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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.