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Finding the Fourth Proportional to 2,969.02, 4,454.34 and 1,021.24

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Solution

The fourth proportional to 2,969.02, 4,454.34 and 1,021.24 is: 1,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.02 : 4,454.34 = 1,021.24 : x
  2. Step 2: Convert to fraction form
    2,969.02/4,454.34 = 1,021.24/x
  3. Step 3: Cross multiply
    2,969.02x = 4,454.34 × 1,021.24
  4. Step 4: Simplify right side
    2,969.02x = 4,548,950.18
  5. Step 5: Solve for x
    x = 4,548,950.18/2,969.02
  6. Step 6: Final answer
    x = 1,532.14

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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.