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Finding the Fourth Proportional to 1,890.74, 2,609.44 and 1,144.76

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Solution

The fourth proportional to 1,890.74, 2,609.44 and 1,144.76 is: 1,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.74 : 2,609.44 = 1,144.76 : x
  2. Step 2: Convert to fraction form
    1,890.74/2,609.44 = 1,144.76/x
  3. Step 3: Cross multiply
    1,890.74x = 2,609.44 × 1,144.76
  4. Step 4: Simplify right side
    1,890.74x = 2,987,166.63
  5. Step 5: Solve for x
    x = 2,987,166.63/1,890.74
  6. Step 6: Final answer
    x = 1,579.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.