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Finding the Fourth Proportional to 2,969.93, 4,455.44 and 1,021.66

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Solution

The fourth proportional to 2,969.93, 4,455.44 and 1,021.66 is: 1,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.93 : 4,455.44 = 1,021.66 : x
  2. Step 2: Convert to fraction form
    2,969.93/4,455.44 = 1,021.66/x
  3. Step 3: Cross multiply
    2,969.93x = 4,455.44 × 1,021.66
  4. Step 4: Simplify right side
    2,969.93x = 4,551,944.83
  5. Step 5: Solve for x
    x = 4,551,944.83/2,969.93
  6. Step 6: Final answer
    x = 1,532.68

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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.