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Finding the Fourth Proportional to 2,969.55, 4,454.23 and 1,410.67

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Solution

The fourth proportional to 2,969.55, 4,454.23 and 1,410.67 is: 2,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.55 : 4,454.23 = 1,410.67 : x
  2. Step 2: Convert to fraction form
    2,969.55/4,454.23 = 1,410.67/x
  3. Step 3: Cross multiply
    2,969.55x = 4,454.23 × 1,410.67
  4. Step 4: Simplify right side
    2,969.55x = 6,283,450.68
  5. Step 5: Solve for x
    x = 6,283,450.68/2,969.55
  6. Step 6: Final answer
    x = 2,115.96

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Why These Related Problems?

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