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Finding the Fourth Proportional to 2,957.69, 4,435.38 and 983.24

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Solution

The fourth proportional to 2,957.69, 4,435.38 and 983.24 is: 1,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.69 : 4,435.38 = 983.24 : x
  2. Step 2: Convert to fraction form
    2,957.69/4,435.38 = 983.24/x
  3. Step 3: Cross multiply
    2,957.69x = 4,435.38 × 983.24
  4. Step 4: Simplify right side
    2,957.69x = 4,361,054.12
  5. Step 5: Solve for x
    x = 4,361,054.12/2,957.69
  6. Step 6: Final answer
    x = 1,474.48

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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.