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Finding the Fourth Proportional to 2,957.58, 4,433.97 and 1,107.66

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Solution

The fourth proportional to 2,957.58, 4,433.97 and 1,107.66 is: 1,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.58 : 4,433.97 = 1,107.66 : x
  2. Step 2: Convert to fraction form
    2,957.58/4,433.97 = 1,107.66/x
  3. Step 3: Cross multiply
    2,957.58x = 4,433.97 × 1,107.66
  4. Step 4: Simplify right side
    2,957.58x = 4,911,331.21
  5. Step 5: Solve for x
    x = 4,911,331.21/2,957.58
  6. Step 6: Final answer
    x = 1,660.59

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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.