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Finding the Fourth Proportional to 4,930.74, 7,391.40 and 1,641.54

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Solution

The fourth proportional to 4,930.74, 7,391.40 and 1,641.54 is: 2,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.74 : 7,391.40 = 1,641.54 : x
  2. Step 2: Convert to fraction form
    4,930.74/7,391.40 = 1,641.54/x
  3. Step 3: Cross multiply
    4,930.74x = 7,391.40 × 1,641.54
  4. Step 4: Simplify right side
    4,930.74x = 12,133,278.76
  5. Step 5: Solve for x
    x = 12,133,278.76/4,930.74
  6. Step 6: Final answer
    x = 2,460.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.