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Finding the Fourth Proportional to 3,145.86, 4,346.33 and 2,678.67

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Solution

The fourth proportional to 3,145.86, 4,346.33 and 2,678.67 is: 3,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.86 : 4,346.33 = 2,678.67 : x
  2. Step 2: Convert to fraction form
    3,145.86/4,346.33 = 2,678.67/x
  3. Step 3: Cross multiply
    3,145.86x = 4,346.33 × 2,678.67
  4. Step 4: Simplify right side
    3,145.86x = 11,642,370.39
  5. Step 5: Solve for x
    x = 11,642,370.39/3,145.86
  6. Step 6: Final answer
    x = 3,700.85

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