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Finding the Fourth Proportional to 3,075.69, 4,244.46 and 1,678.44

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Solution

The fourth proportional to 3,075.69, 4,244.46 and 1,678.44 is: 2,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.69 : 4,244.46 = 1,678.44 : x
  2. Step 2: Convert to fraction form
    3,075.69/4,244.46 = 1,678.44/x
  3. Step 3: Cross multiply
    3,075.69x = 4,244.46 × 1,678.44
  4. Step 4: Simplify right side
    3,075.69x = 7,124,071.44
  5. Step 5: Solve for x
    x = 7,124,071.44/3,075.69
  6. Step 6: Final answer
    x = 2,316.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.