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Finding the Fourth Proportional to 3,075.60, 4,611.16 and 1,226.16

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Solution

The fourth proportional to 3,075.60, 4,611.16 and 1,226.16 is: 1,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.60 : 4,611.16 = 1,226.16 : x
  2. Step 2: Convert to fraction form
    3,075.60/4,611.16 = 1,226.16/x
  3. Step 3: Cross multiply
    3,075.60x = 4,611.16 × 1,226.16
  4. Step 4: Simplify right side
    3,075.60x = 5,653,993.82
  5. Step 5: Solve for x
    x = 5,653,993.82/3,075.60
  6. Step 6: Final answer
    x = 1,838.34

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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.