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Finding the Fourth Proportional to 2,406, 3,590.38 and 2,146.80

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Solution

The fourth proportional to 2,406, 3,590.38 and 2,146.80 is: 3,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,590.38 = 2,146.80 : x
  2. Step 2: Convert to fraction form
    2,406/3,590.38 = 2,146.80/x
  3. Step 3: Cross multiply
    2,406x = 3,590.38 × 2,146.80
  4. Step 4: Simplify right side
    2,406x = 7,707,827.78
  5. Step 5: Solve for x
    x = 7,707,827.78/2,406
  6. Step 6: Final answer
    x = 3,203.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.