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Finding the Fourth Proportional to 2,457.72, 3,682.47 and 1,068.98

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Solution

The fourth proportional to 2,457.72, 3,682.47 and 1,068.98 is: 1,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.72 : 3,682.47 = 1,068.98 : x
  2. Step 2: Convert to fraction form
    2,457.72/3,682.47 = 1,068.98/x
  3. Step 3: Cross multiply
    2,457.72x = 3,682.47 × 1,068.98
  4. Step 4: Simplify right side
    2,457.72x = 3,936,472.38
  5. Step 5: Solve for x
    x = 3,936,472.38/2,457.72
  6. Step 6: Final answer
    x = 1,601.68

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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.