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Finding the Fourth Proportional to 2,848.64, 4,272.42 and 900.32

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Solution

The fourth proportional to 2,848.64, 4,272.42 and 900.32 is: 1,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.64 : 4,272.42 = 900.32 : x
  2. Step 2: Convert to fraction form
    2,848.64/4,272.42 = 900.32/x
  3. Step 3: Cross multiply
    2,848.64x = 4,272.42 × 900.32
  4. Step 4: Simplify right side
    2,848.64x = 3,846,545.17
  5. Step 5: Solve for x
    x = 3,846,545.17/2,848.64
  6. Step 6: Final answer
    x = 1,350.31

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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.