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Finding the Fourth Proportional to 2,954.14, 4,430.94 and 1,006.12

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Solution

The fourth proportional to 2,954.14, 4,430.94 and 1,006.12 is: 1,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.14 : 4,430.94 = 1,006.12 : x
  2. Step 2: Convert to fraction form
    2,954.14/4,430.94 = 1,006.12/x
  3. Step 3: Cross multiply
    2,954.14x = 4,430.94 × 1,006.12
  4. Step 4: Simplify right side
    2,954.14x = 4,458,057.35
  5. Step 5: Solve for x
    x = 4,458,057.35/2,954.14
  6. Step 6: Final answer
    x = 1,509.09

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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.