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Finding the Fourth Proportional to 2,928.94, 4,043.89 and 1,734.32

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Solution

The fourth proportional to 2,928.94, 4,043.89 and 1,734.32 is: 2,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.94 : 4,043.89 = 1,734.32 : x
  2. Step 2: Convert to fraction form
    2,928.94/4,043.89 = 1,734.32/x
  3. Step 3: Cross multiply
    2,928.94x = 4,043.89 × 1,734.32
  4. Step 4: Simplify right side
    2,928.94x = 7,013,374.75
  5. Step 5: Solve for x
    x = 7,013,374.75/2,928.94
  6. Step 6: Final answer
    x = 2,394.51

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Why These Related Problems?

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