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Finding the Fourth Proportional to 2,364, 3,263.37 and 1,734.52

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Solution

The fourth proportional to 2,364, 3,263.37 and 1,734.52 is: 2,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364 : 3,263.37 = 1,734.52 : x
  2. Step 2: Convert to fraction form
    2,364/3,263.37 = 1,734.52/x
  3. Step 3: Cross multiply
    2,364x = 3,263.37 × 1,734.52
  4. Step 4: Simplify right side
    2,364x = 5,660,380.53
  5. Step 5: Solve for x
    x = 5,660,380.53/2,364
  6. Step 6: Final answer
    x = 2,394.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.