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Finding the Fourth Proportional to 3,034.63, 4,549.11 and 1,645.93

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Solution

The fourth proportional to 3,034.63, 4,549.11 and 1,645.93 is: 2,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.63 : 4,549.11 = 1,645.93 : x
  2. Step 2: Convert to fraction form
    3,034.63/4,549.11 = 1,645.93/x
  3. Step 3: Cross multiply
    3,034.63x = 4,549.11 × 1,645.93
  4. Step 4: Simplify right side
    3,034.63x = 7,487,516.62
  5. Step 5: Solve for x
    x = 7,487,516.62/3,034.63
  6. Step 6: Final answer
    x = 2,467.36

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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.