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Finding the Fourth Proportional to 1,930.50, 2,663.76 and 1,144.74

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Solution

The fourth proportional to 1,930.50, 2,663.76 and 1,144.74 is: 1,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.50 : 2,663.76 = 1,144.74 : x
  2. Step 2: Convert to fraction form
    1,930.50/2,663.76 = 1,144.74/x
  3. Step 3: Cross multiply
    1,930.50x = 2,663.76 × 1,144.74
  4. Step 4: Simplify right side
    1,930.50x = 3,049,312.62
  5. Step 5: Solve for x
    x = 3,049,312.62/1,930.50
  6. Step 6: Final answer
    x = 1,579.55

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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.