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Finding the Fourth Proportional to 3,075.60, 4,609.95 and 1,226.22

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Solution

The fourth proportional to 3,075.60, 4,609.95 and 1,226.22 is: 1,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.60 : 4,609.95 = 1,226.22 : x
  2. Step 2: Convert to fraction form
    3,075.60/4,609.95 = 1,226.22/x
  3. Step 3: Cross multiply
    3,075.60x = 4,609.95 × 1,226.22
  4. Step 4: Simplify right side
    3,075.60x = 5,652,812.89
  5. Step 5: Solve for x
    x = 5,652,812.89/3,075.60
  6. Step 6: Final answer
    x = 1,837.95

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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.