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Finding the Fourth Proportional to 1,984.61, 2,974.14 and 1,690.58

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Solution

The fourth proportional to 1,984.61, 2,974.14 and 1,690.58 is: 2,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.61 : 2,974.14 = 1,690.58 : x
  2. Step 2: Convert to fraction form
    1,984.61/2,974.14 = 1,690.58/x
  3. Step 3: Cross multiply
    1,984.61x = 2,974.14 × 1,690.58
  4. Step 4: Simplify right side
    1,984.61x = 5,028,006.73
  5. Step 5: Solve for x
    x = 5,028,006.73/1,984.61
  6. Step 6: Final answer
    x = 2,533.51

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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.