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Finding the Fourth Proportional to 1,670.37, 2,305.98 and 1,559.94

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Solution

The fourth proportional to 1,670.37, 2,305.98 and 1,559.94 is: 2,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.37 : 2,305.98 = 1,559.94 : x
  2. Step 2: Convert to fraction form
    1,670.37/2,305.98 = 1,559.94/x
  3. Step 3: Cross multiply
    1,670.37x = 2,305.98 × 1,559.94
  4. Step 4: Simplify right side
    1,670.37x = 3,597,190.44
  5. Step 5: Solve for x
    x = 3,597,190.44/1,670.37
  6. Step 6: Final answer
    x = 2,153.53

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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.