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Finding the Fourth Proportional to 2,848.56, 4,272.84 and 900.77

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Solution

The fourth proportional to 2,848.56, 4,272.84 and 900.77 is: 1,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.56 : 4,272.84 = 900.77 : x
  2. Step 2: Convert to fraction form
    2,848.56/4,272.84 = 900.77/x
  3. Step 3: Cross multiply
    2,848.56x = 4,272.84 × 900.77
  4. Step 4: Simplify right side
    2,848.56x = 3,848,824.72
  5. Step 5: Solve for x
    x = 3,848,824.72/2,848.56
  6. Step 6: Final answer
    x = 1,351.15

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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.