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Finding the Fourth Proportional to 2,034.57, 3,051.86 and 993.69

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Solution

The fourth proportional to 2,034.57, 3,051.86 and 993.69 is: 1,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.57 : 3,051.86 = 993.69 : x
  2. Step 2: Convert to fraction form
    2,034.57/3,051.86 = 993.69/x
  3. Step 3: Cross multiply
    2,034.57x = 3,051.86 × 993.69
  4. Step 4: Simplify right side
    2,034.57x = 3,032,597.79
  5. Step 5: Solve for x
    x = 3,032,597.79/2,034.57
  6. Step 6: Final answer
    x = 1,490.54

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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.