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Finding the Fourth Proportional to 3,075.93, 4,244.63 and 1,678.41

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Solution

The fourth proportional to 3,075.93, 4,244.63 and 1,678.41 is: 2,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.93 : 4,244.63 = 1,678.41 : x
  2. Step 2: Convert to fraction form
    3,075.93/4,244.63 = 1,678.41/x
  3. Step 3: Cross multiply
    3,075.93x = 4,244.63 × 1,678.41
  4. Step 4: Simplify right side
    3,075.93x = 7,124,221.05
  5. Step 5: Solve for x
    x = 7,124,221.05/3,075.93
  6. Step 6: Final answer
    x = 2,316.12

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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.