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Finding the Fourth Proportional to 2,636.52, 3,638.46 and 1,457.61

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Solution

The fourth proportional to 2,636.52, 3,638.46 and 1,457.61 is: 2,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.52 : 3,638.46 = 1,457.61 : x
  2. Step 2: Convert to fraction form
    2,636.52/3,638.46 = 1,457.61/x
  3. Step 3: Cross multiply
    2,636.52x = 3,638.46 × 1,457.61
  4. Step 4: Simplify right side
    2,636.52x = 5,303,455.68
  5. Step 5: Solve for x
    x = 5,303,455.68/2,636.52
  6. Step 6: Final answer
    x = 2,011.54

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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.