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Finding the Fourth Proportional to 3,075.68, 4,244.46 and 1,678.48

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Solution

The fourth proportional to 3,075.68, 4,244.46 and 1,678.48 is: 2,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.68 : 4,244.46 = 1,678.48 : x
  2. Step 2: Convert to fraction form
    3,075.68/4,244.46 = 1,678.48/x
  3. Step 3: Cross multiply
    3,075.68x = 4,244.46 × 1,678.48
  4. Step 4: Simplify right side
    3,075.68x = 7,124,241.22
  5. Step 5: Solve for x
    x = 7,124,241.22/3,075.68
  6. Step 6: Final answer
    x = 2,316.31

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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.