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Finding the Fourth Proportional to 2,231.03, 3,346.58 and 845.01

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Solution

The fourth proportional to 2,231.03, 3,346.58 and 845.01 is: 1,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.03 : 3,346.58 = 845.01 : x
  2. Step 2: Convert to fraction form
    2,231.03/3,346.58 = 845.01/x
  3. Step 3: Cross multiply
    2,231.03x = 3,346.58 × 845.01
  4. Step 4: Simplify right side
    2,231.03x = 2,827,889.34
  5. Step 5: Solve for x
    x = 2,827,889.34/2,231.03
  6. Step 6: Final answer
    x = 1,267.53

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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.