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Finding the Fourth Proportional to 4,699.80, 7,049.43 and 1,412.82

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Solution

The fourth proportional to 4,699.80, 7,049.43 and 1,412.82 is: 2,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.80 : 7,049.43 = 1,412.82 : x
  2. Step 2: Convert to fraction form
    4,699.80/7,049.43 = 1,412.82/x
  3. Step 3: Cross multiply
    4,699.80x = 7,049.43 × 1,412.82
  4. Step 4: Simplify right side
    4,699.80x = 9,959,575.69
  5. Step 5: Solve for x
    x = 9,959,575.69/4,699.80
  6. Step 6: Final answer
    x = 2,119.15

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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.