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Finding the Fourth Proportional to 1,670.21, 2,289.94 and 1,640.58

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Solution

The fourth proportional to 1,670.21, 2,289.94 and 1,640.58 is: 2,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.21 : 2,289.94 = 1,640.58 : x
  2. Step 2: Convert to fraction form
    1,670.21/2,289.94 = 1,640.58/x
  3. Step 3: Cross multiply
    1,670.21x = 2,289.94 × 1,640.58
  4. Step 4: Simplify right side
    1,670.21x = 3,756,829.77
  5. Step 5: Solve for x
    x = 3,756,829.77/1,670.21
  6. Step 6: Final answer
    x = 2,249.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.