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Finding the Fourth Proportional to 2,069.21, 3,103.73 and 509.22

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Solution

The fourth proportional to 2,069.21, 3,103.73 and 509.22 is: 763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.21 : 3,103.73 = 509.22 : x
  2. Step 2: Convert to fraction form
    2,069.21/3,103.73 = 509.22/x
  3. Step 3: Cross multiply
    2,069.21x = 3,103.73 × 509.22
  4. Step 4: Simplify right side
    2,069.21x = 1,580,482.66
  5. Step 5: Solve for x
    x = 1,580,482.66/2,069.21
  6. Step 6: Final answer
    x = 763.81

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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.