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Finding the Fourth Proportional to 2,763.70, 4,146.37 and 1,594.54

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Solution

The fourth proportional to 2,763.70, 4,146.37 and 1,594.54 is: 2,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.70 : 4,146.37 = 1,594.54 : x
  2. Step 2: Convert to fraction form
    2,763.70/4,146.37 = 1,594.54/x
  3. Step 3: Cross multiply
    2,763.70x = 4,146.37 × 1,594.54
  4. Step 4: Simplify right side
    2,763.70x = 6,611,554.02
  5. Step 5: Solve for x
    x = 6,611,554.02/2,763.70
  6. Step 6: Final answer
    x = 2,392.28

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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.