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Finding the Fourth Proportional to 1,636.75, 2,460.53 and 1,516.47

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Solution

The fourth proportional to 1,636.75, 2,460.53 and 1,516.47 is: 2,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.75 : 2,460.53 = 1,516.47 : x
  2. Step 2: Convert to fraction form
    1,636.75/2,460.53 = 1,516.47/x
  3. Step 3: Cross multiply
    1,636.75x = 2,460.53 × 1,516.47
  4. Step 4: Simplify right side
    1,636.75x = 3,731,319.93
  5. Step 5: Solve for x
    x = 3,731,319.93/1,636.75
  6. Step 6: Final answer
    x = 2,279.71

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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.