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Finding the Fourth Proportional to 2,233.59, 3,347.78 and 846.03

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Solution

The fourth proportional to 2,233.59, 3,347.78 and 846.03 is: 1,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.59 : 3,347.78 = 846.03 : x
  2. Step 2: Convert to fraction form
    2,233.59/3,347.78 = 846.03/x
  3. Step 3: Cross multiply
    2,233.59x = 3,347.78 × 846.03
  4. Step 4: Simplify right side
    2,233.59x = 2,832,330.64
  5. Step 5: Solve for x
    x = 2,832,330.64/2,233.59
  6. Step 6: Final answer
    x = 1,268.06

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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.