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Finding the Fourth Proportional to 1,829.42, 2,524.60 and 990.12

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Solution

The fourth proportional to 1,829.42, 2,524.60 and 990.12 is: 1,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.42 : 2,524.60 = 990.12 : x
  2. Step 2: Convert to fraction form
    1,829.42/2,524.60 = 990.12/x
  3. Step 3: Cross multiply
    1,829.42x = 2,524.60 × 990.12
  4. Step 4: Simplify right side
    1,829.42x = 2,499,665.83
  5. Step 5: Solve for x
    x = 2,499,665.83/1,829.42
  6. Step 6: Final answer
    x = 1,366.37

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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.