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Finding the Fourth Proportional to 2,030.70, 2,788.46 and 1,634.70

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Solution

The fourth proportional to 2,030.70, 2,788.46 and 1,634.70 is: 2,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.70 : 2,788.46 = 1,634.70 : x
  2. Step 2: Convert to fraction form
    2,030.70/2,788.46 = 1,634.70/x
  3. Step 3: Cross multiply
    2,030.70x = 2,788.46 × 1,634.70
  4. Step 4: Simplify right side
    2,030.70x = 4,558,295.56
  5. Step 5: Solve for x
    x = 4,558,295.56/2,030.70
  6. Step 6: Final answer
    x = 2,244.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.