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Finding the Fourth Proportional to 2,957.84, 4,432.82 and 1,107.09

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Solution

The fourth proportional to 2,957.84, 4,432.82 and 1,107.09 is: 1,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.84 : 4,432.82 = 1,107.09 : x
  2. Step 2: Convert to fraction form
    2,957.84/4,432.82 = 1,107.09/x
  3. Step 3: Cross multiply
    2,957.84x = 4,432.82 × 1,107.09
  4. Step 4: Simplify right side
    2,957.84x = 4,907,525.16
  5. Step 5: Solve for x
    x = 4,907,525.16/2,957.84
  6. Step 6: Final answer
    x = 1,659.16

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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.