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Finding the Fourth Proportional to 2,886.54, 4,328.73 and 2,277.42

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Solution

The fourth proportional to 2,886.54, 4,328.73 and 2,277.42 is: 3,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.54 : 4,328.73 = 2,277.42 : x
  2. Step 2: Convert to fraction form
    2,886.54/4,328.73 = 2,277.42/x
  3. Step 3: Cross multiply
    2,886.54x = 4,328.73 × 2,277.42
  4. Step 4: Simplify right side
    2,886.54x = 9,858,336.28
  5. Step 5: Solve for x
    x = 9,858,336.28/2,886.54
  6. Step 6: Final answer
    x = 3,415.28

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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.