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Finding the Fourth Proportional to 1,520.51, 2,107.96 and 1,441.46

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Solution

The fourth proportional to 1,520.51, 2,107.96 and 1,441.46 is: 1,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.51 : 2,107.96 = 1,441.46 : x
  2. Step 2: Convert to fraction form
    1,520.51/2,107.96 = 1,441.46/x
  3. Step 3: Cross multiply
    1,520.51x = 2,107.96 × 1,441.46
  4. Step 4: Simplify right side
    1,520.51x = 3,038,541.69
  5. Step 5: Solve for x
    x = 3,038,541.69/1,520.51
  6. Step 6: Final answer
    x = 1,998.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.