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Finding the Fourth Proportional to 2,952.90, 4,428.09 and 1,004.22

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Solution

The fourth proportional to 2,952.90, 4,428.09 and 1,004.22 is: 1,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.90 : 4,428.09 = 1,004.22 : x
  2. Step 2: Convert to fraction form
    2,952.90/4,428.09 = 1,004.22/x
  3. Step 3: Cross multiply
    2,952.90x = 4,428.09 × 1,004.22
  4. Step 4: Simplify right side
    2,952.90x = 4,446,776.54
  5. Step 5: Solve for x
    x = 4,446,776.54/2,952.90
  6. Step 6: Final answer
    x = 1,505.90

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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.