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Finding the Fourth Proportional to 1,402.52, 2,104.01 and 415.19

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Solution

The fourth proportional to 1,402.52, 2,104.01 and 415.19 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.52 : 2,104.01 = 415.19 : x
  2. Step 2: Convert to fraction form
    1,402.52/2,104.01 = 415.19/x
  3. Step 3: Cross multiply
    1,402.52x = 2,104.01 × 415.19
  4. Step 4: Simplify right side
    1,402.52x = 873,568.65
  5. Step 5: Solve for x
    x = 873,568.65/1,402.52
  6. Step 6: Final answer
    x = 622.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.