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Finding the Fourth Proportional to 2,924.49, 4,035.80 and 1,665.49

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Solution

The fourth proportional to 2,924.49, 4,035.80 and 1,665.49 is: 2,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.49 : 4,035.80 = 1,665.49 : x
  2. Step 2: Convert to fraction form
    2,924.49/4,035.80 = 1,665.49/x
  3. Step 3: Cross multiply
    2,924.49x = 4,035.80 × 1,665.49
  4. Step 4: Simplify right side
    2,924.49x = 6,721,584.54
  5. Step 5: Solve for x
    x = 6,721,584.54/2,924.49
  6. Step 6: Final answer
    x = 2,298.38

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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.