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Finding the Fourth Proportional to 2,970.33, 4,454.19 and 1,022.67

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Solution

The fourth proportional to 2,970.33, 4,454.19 and 1,022.67 is: 1,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.33 : 4,454.19 = 1,022.67 : x
  2. Step 2: Convert to fraction form
    2,970.33/4,454.19 = 1,022.67/x
  3. Step 3: Cross multiply
    2,970.33x = 4,454.19 × 1,022.67
  4. Step 4: Simplify right side
    2,970.33x = 4,555,166.49
  5. Step 5: Solve for x
    x = 4,555,166.49/2,970.33
  6. Step 6: Final answer
    x = 1,533.56

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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.