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Finding the Fourth Proportional to 2,876.33, 4,315.41 and 928.69

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Solution

The fourth proportional to 2,876.33, 4,315.41 and 928.69 is: 1,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.33 : 4,315.41 = 928.69 : x
  2. Step 2: Convert to fraction form
    2,876.33/4,315.41 = 928.69/x
  3. Step 3: Cross multiply
    2,876.33x = 4,315.41 × 928.69
  4. Step 4: Simplify right side
    2,876.33x = 4,007,667.32
  5. Step 5: Solve for x
    x = 4,007,667.32/2,876.33
  6. Step 6: Final answer
    x = 1,393.33

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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.