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Finding the Fourth Proportional to 3,075.39, 4,609.44 and 1,774.17

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Solution

The fourth proportional to 3,075.39, 4,609.44 and 1,774.17 is: 2,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.39 : 4,609.44 = 1,774.17 : x
  2. Step 2: Convert to fraction form
    3,075.39/4,609.44 = 1,774.17/x
  3. Step 3: Cross multiply
    3,075.39x = 4,609.44 × 1,774.17
  4. Step 4: Simplify right side
    3,075.39x = 8,177,930.16
  5. Step 5: Solve for x
    x = 8,177,930.16/3,075.39
  6. Step 6: Final answer
    x = 2,659.15

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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.