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Finding the Fourth Proportional to 2,457.64, 3,687.83 and 2,001.11

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Solution

The fourth proportional to 2,457.64, 3,687.83 and 2,001.11 is: 3,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.64 : 3,687.83 = 2,001.11 : x
  2. Step 2: Convert to fraction form
    2,457.64/3,687.83 = 2,001.11/x
  3. Step 3: Cross multiply
    2,457.64x = 3,687.83 × 2,001.11
  4. Step 4: Simplify right side
    2,457.64x = 7,379,732.55
  5. Step 5: Solve for x
    x = 7,379,732.55/2,457.64
  6. Step 6: Final answer
    x = 3,002.77

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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.