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Finding the Fourth Proportional to 2,056.02, 2,836.56 and 1,391.82

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Solution

The fourth proportional to 2,056.02, 2,836.56 and 1,391.82 is: 1,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.02 : 2,836.56 = 1,391.82 : x
  2. Step 2: Convert to fraction form
    2,056.02/2,836.56 = 1,391.82/x
  3. Step 3: Cross multiply
    2,056.02x = 2,836.56 × 1,391.82
  4. Step 4: Simplify right side
    2,056.02x = 3,947,980.94
  5. Step 5: Solve for x
    x = 3,947,980.94/2,056.02
  6. Step 6: Final answer
    x = 1,920.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.