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Finding the Fourth Proportional to 3,019.65, 4,529.43 and 828.38

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Solution

The fourth proportional to 3,019.65, 4,529.43 and 828.38 is: 1,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.65 : 4,529.43 = 828.38 : x
  2. Step 2: Convert to fraction form
    3,019.65/4,529.43 = 828.38/x
  3. Step 3: Cross multiply
    3,019.65x = 4,529.43 × 828.38
  4. Step 4: Simplify right side
    3,019.65x = 3,752,066.58
  5. Step 5: Solve for x
    x = 3,752,066.58/3,019.65
  6. Step 6: Final answer
    x = 1,242.55

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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.