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Finding the Fourth Proportional to 2,930.58, 4,046.90 and 1,884.47

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Solution

The fourth proportional to 2,930.58, 4,046.90 and 1,884.47 is: 2,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.58 : 4,046.90 = 1,884.47 : x
  2. Step 2: Convert to fraction form
    2,930.58/4,046.90 = 1,884.47/x
  3. Step 3: Cross multiply
    2,930.58x = 4,046.90 × 1,884.47
  4. Step 4: Simplify right side
    2,930.58x = 7,626,231.99
  5. Step 5: Solve for x
    x = 7,626,231.99/2,930.58
  6. Step 6: Final answer
    x = 2,602.29

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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.