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Finding the Fourth Proportional to 2,364, 3,262.32 and 1,316.31

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Solution

The fourth proportional to 2,364, 3,262.32 and 1,316.31 is: 1,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364 : 3,262.32 = 1,316.31 : x
  2. Step 2: Convert to fraction form
    2,364/3,262.32 = 1,316.31/x
  3. Step 3: Cross multiply
    2,364x = 3,262.32 × 1,316.31
  4. Step 4: Simplify right side
    2,364x = 4,294,224.44
  5. Step 5: Solve for x
    x = 4,294,224.44/2,364
  6. Step 6: Final answer
    x = 1,816.51

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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.