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Finding the Fourth Proportional to 2,636.62, 3,638.52 and 1,457.73

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Solution

The fourth proportional to 2,636.62, 3,638.52 and 1,457.73 is: 2,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.62 : 3,638.52 = 1,457.73 : x
  2. Step 2: Convert to fraction form
    2,636.62/3,638.52 = 1,457.73/x
  3. Step 3: Cross multiply
    2,636.62x = 3,638.52 × 1,457.73
  4. Step 4: Simplify right side
    2,636.62x = 5,303,979.76
  5. Step 5: Solve for x
    x = 5,303,979.76/2,636.62
  6. Step 6: Final answer
    x = 2,011.66

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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.