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Finding the Fourth Proportional to 2,034.51, 3,051.96 and 553.75

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Solution

The fourth proportional to 2,034.51, 3,051.96 and 553.75 is: 830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.51 : 3,051.96 = 553.75 : x
  2. Step 2: Convert to fraction form
    2,034.51/3,051.96 = 553.75/x
  3. Step 3: Cross multiply
    2,034.51x = 3,051.96 × 553.75
  4. Step 4: Simplify right side
    2,034.51x = 1,690,022.85
  5. Step 5: Solve for x
    x = 1,690,022.85/2,034.51
  6. Step 6: Final answer
    x = 830.68

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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.