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Finding the Fourth Proportional to 2,233.33, 3,347.47 and 845.80

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Solution

The fourth proportional to 2,233.33, 3,347.47 and 845.80 is: 1,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.33 : 3,347.47 = 845.80 : x
  2. Step 2: Convert to fraction form
    2,233.33/3,347.47 = 845.80/x
  3. Step 3: Cross multiply
    2,233.33x = 3,347.47 × 845.80
  4. Step 4: Simplify right side
    2,233.33x = 2,831,290.13
  5. Step 5: Solve for x
    x = 2,831,290.13/2,233.33
  6. Step 6: Final answer
    x = 1,267.74

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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.