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Finding the Fourth Proportional to 2,905.92, 4,357.44 and 1,056.96

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Solution

The fourth proportional to 2,905.92, 4,357.44 and 1,056.96 is: 1,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.92 : 4,357.44 = 1,056.96 : x
  2. Step 2: Convert to fraction form
    2,905.92/4,357.44 = 1,056.96/x
  3. Step 3: Cross multiply
    2,905.92x = 4,357.44 × 1,056.96
  4. Step 4: Simplify right side
    2,905.92x = 4,605,639.78
  5. Step 5: Solve for x
    x = 4,605,639.78/2,905.92
  6. Step 6: Final answer
    x = 1,584.92

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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.