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Finding the Fourth Proportional to 2,233.70, 3,347.51 and 846.29

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Solution

The fourth proportional to 2,233.70, 3,347.51 and 846.29 is: 1,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.70 : 3,347.51 = 846.29 : x
  2. Step 2: Convert to fraction form
    2,233.70/3,347.51 = 846.29/x
  3. Step 3: Cross multiply
    2,233.70x = 3,347.51 × 846.29
  4. Step 4: Simplify right side
    2,233.70x = 2,832,943.27
  5. Step 5: Solve for x
    x = 2,832,943.27/2,233.70
  6. Step 6: Final answer
    x = 1,268.28

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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.