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Finding the Fourth Proportional to 2,969.41, 4,455.33 and 1,302.67

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Solution

The fourth proportional to 2,969.41, 4,455.33 and 1,302.67 is: 1,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.41 : 4,455.33 = 1,302.67 : x
  2. Step 2: Convert to fraction form
    2,969.41/4,455.33 = 1,302.67/x
  3. Step 3: Cross multiply
    2,969.41x = 4,455.33 × 1,302.67
  4. Step 4: Simplify right side
    2,969.41x = 5,803,813.59
  5. Step 5: Solve for x
    x = 5,803,813.59/2,969.41
  6. Step 6: Final answer
    x = 1,954.54

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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.