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Finding the Fourth Proportional to 2,848.09, 4,272.59 and 899.83

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Solution

The fourth proportional to 2,848.09, 4,272.59 and 899.83 is: 1,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.09 : 4,272.59 = 899.83 : x
  2. Step 2: Convert to fraction form
    2,848.09/4,272.59 = 899.83/x
  3. Step 3: Cross multiply
    2,848.09x = 4,272.59 × 899.83
  4. Step 4: Simplify right side
    2,848.09x = 3,844,604.66
  5. Step 5: Solve for x
    x = 3,844,604.66/2,848.09
  6. Step 6: Final answer
    x = 1,349.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.