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Finding the Fourth Proportional to 2,210.69, 3,313.82 and 1,420.67

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Solution

The fourth proportional to 2,210.69, 3,313.82 and 1,420.67 is: 2,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.69 : 3,313.82 = 1,420.67 : x
  2. Step 2: Convert to fraction form
    2,210.69/3,313.82 = 1,420.67/x
  3. Step 3: Cross multiply
    2,210.69x = 3,313.82 × 1,420.67
  4. Step 4: Simplify right side
    2,210.69x = 4,707,855.62
  5. Step 5: Solve for x
    x = 4,707,855.62/2,210.69
  6. Step 6: Final answer
    x = 2,129.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.