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Finding the Fourth Proportional to 2,391, 3,298.32 and 1,446.36

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Solution

The fourth proportional to 2,391, 3,298.32 and 1,446.36 is: 1,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391 : 3,298.32 = 1,446.36 : x
  2. Step 2: Convert to fraction form
    2,391/3,298.32 = 1,446.36/x
  3. Step 3: Cross multiply
    2,391x = 3,298.32 × 1,446.36
  4. Step 4: Simplify right side
    2,391x = 4,770,558.12
  5. Step 5: Solve for x
    x = 4,770,558.12/2,391
  6. Step 6: Final answer
    x = 1,995.21

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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.