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Finding the Fourth Proportional to 1,907.39, 2,851.69 and 1,618.12

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Solution

The fourth proportional to 1,907.39, 2,851.69 and 1,618.12 is: 2,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.39 : 2,851.69 = 1,618.12 : x
  2. Step 2: Convert to fraction form
    1,907.39/2,851.69 = 1,618.12/x
  3. Step 3: Cross multiply
    1,907.39x = 2,851.69 × 1,618.12
  4. Step 4: Simplify right side
    1,907.39x = 4,614,376.62
  5. Step 5: Solve for x
    x = 4,614,376.62/1,907.39
  6. Step 6: Final answer
    x = 2,419.21

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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.