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Finding the Fourth Proportional to 2,930.49, 4,395.74 and 982.70

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Solution

The fourth proportional to 2,930.49, 4,395.74 and 982.70 is: 1,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.49 : 4,395.74 = 982.70 : x
  2. Step 2: Convert to fraction form
    2,930.49/4,395.74 = 982.70/x
  3. Step 3: Cross multiply
    2,930.49x = 4,395.74 × 982.70
  4. Step 4: Simplify right side
    2,930.49x = 4,319,693.70
  5. Step 5: Solve for x
    x = 4,319,693.70/2,930.49
  6. Step 6: Final answer
    x = 1,474.05

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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.