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Finding the Fourth Proportional to 3,200.49, 4,412.68 and 2,670.14

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Solution

The fourth proportional to 3,200.49, 4,412.68 and 2,670.14 is: 3,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.49 : 4,412.68 = 2,670.14 : x
  2. Step 2: Convert to fraction form
    3,200.49/4,412.68 = 2,670.14/x
  3. Step 3: Cross multiply
    3,200.49x = 4,412.68 × 2,670.14
  4. Step 4: Simplify right side
    3,200.49x = 11,782,473.38
  5. Step 5: Solve for x
    x = 11,782,473.38/3,200.49
  6. Step 6: Final answer
    x = 3,681.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.