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Finding the Fourth Proportional to 2,636.74, 3,638.68 and 1,457.81

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Solution

The fourth proportional to 2,636.74, 3,638.68 and 1,457.81 is: 2,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.74 : 3,638.68 = 1,457.81 : x
  2. Step 2: Convert to fraction form
    2,636.74/3,638.68 = 1,457.81/x
  3. Step 3: Cross multiply
    2,636.74x = 3,638.68 × 1,457.81
  4. Step 4: Simplify right side
    2,636.74x = 5,304,504.09
  5. Step 5: Solve for x
    x = 5,304,504.09/2,636.74
  6. Step 6: Final answer
    x = 2,011.77

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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.