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Finding the Fourth Proportional to 2,413, 3,319.86 and 2,150.44

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Solution

The fourth proportional to 2,413, 3,319.86 and 2,150.44 is: 2,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413 : 3,319.86 = 2,150.44 : x
  2. Step 2: Convert to fraction form
    2,413/3,319.86 = 2,150.44/x
  3. Step 3: Cross multiply
    2,413x = 3,319.86 × 2,150.44
  4. Step 4: Simplify right side
    2,413x = 7,139,159.74
  5. Step 5: Solve for x
    x = 7,139,159.74/2,413
  6. Step 6: Final answer
    x = 2,958.62

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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.