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Finding the Fourth Proportional to 2,893.40, 4,340.10 and 1,783.70

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Solution

The fourth proportional to 2,893.40, 4,340.10 and 1,783.70 is: 2,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.40 : 4,340.10 = 1,783.70 : x
  2. Step 2: Convert to fraction form
    2,893.40/4,340.10 = 1,783.70/x
  3. Step 3: Cross multiply
    2,893.40x = 4,340.10 × 1,783.70
  4. Step 4: Simplify right side
    2,893.40x = 7,741,436.37
  5. Step 5: Solve for x
    x = 7,741,436.37/2,893.40
  6. Step 6: Final answer
    x = 2,675.55

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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.