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Finding the Fourth Proportional to 1,930.71, 2,663.55 and 1,144.34

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Solution

The fourth proportional to 1,930.71, 2,663.55 and 1,144.34 is: 1,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.71 : 2,663.55 = 1,144.34 : x
  2. Step 2: Convert to fraction form
    1,930.71/2,663.55 = 1,144.34/x
  3. Step 3: Cross multiply
    1,930.71x = 2,663.55 × 1,144.34
  4. Step 4: Simplify right side
    1,930.71x = 3,047,993.49
  5. Step 5: Solve for x
    x = 3,047,993.49/1,930.71
  6. Step 6: Final answer
    x = 1,578.69

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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.