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Finding the Fourth Proportional to 2,051.22, 3,075.60 and 863.84

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Solution

The fourth proportional to 2,051.22, 3,075.60 and 863.84 is: 1,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.22 : 3,075.60 = 863.84 : x
  2. Step 2: Convert to fraction form
    2,051.22/3,075.60 = 863.84/x
  3. Step 3: Cross multiply
    2,051.22x = 3,075.60 × 863.84
  4. Step 4: Simplify right side
    2,051.22x = 2,656,830.75
  5. Step 5: Solve for x
    x = 2,656,830.75/2,051.22
  6. Step 6: Final answer
    x = 1,295.24

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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.