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Finding the Fourth Proportional to 2,833.43, 4,242.13 and 1,907.15

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Solution

The fourth proportional to 2,833.43, 4,242.13 and 1,907.15 is: 2,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.43 : 4,242.13 = 1,907.15 : x
  2. Step 2: Convert to fraction form
    2,833.43/4,242.13 = 1,907.15/x
  3. Step 3: Cross multiply
    2,833.43x = 4,242.13 × 1,907.15
  4. Step 4: Simplify right side
    2,833.43x = 8,090,352.25
  5. Step 5: Solve for x
    x = 8,090,352.25/2,833.43
  6. Step 6: Final answer
    x = 2,855.33

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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.