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Finding the Fourth Proportional to 2,997.42, 4,136.48 and 1,670.97

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Solution

The fourth proportional to 2,997.42, 4,136.48 and 1,670.97 is: 2,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.42 : 4,136.48 = 1,670.97 : x
  2. Step 2: Convert to fraction form
    2,997.42/4,136.48 = 1,670.97/x
  3. Step 3: Cross multiply
    2,997.42x = 4,136.48 × 1,670.97
  4. Step 4: Simplify right side
    2,997.42x = 6,911,956.81
  5. Step 5: Solve for x
    x = 6,911,956.81/2,997.42
  6. Step 6: Final answer
    x = 2,305.97

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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.