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Finding the Fourth Proportional to 1,636.45, 2,455.67 and 845.87

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Solution

The fourth proportional to 1,636.45, 2,455.67 and 845.87 is: 1,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.45 : 2,455.67 = 845.87 : x
  2. Step 2: Convert to fraction form
    1,636.45/2,455.67 = 845.87/x
  3. Step 3: Cross multiply
    1,636.45x = 2,455.67 × 845.87
  4. Step 4: Simplify right side
    1,636.45x = 2,077,167.45
  5. Step 5: Solve for x
    x = 2,077,167.45/1,636.45
  6. Step 6: Final answer
    x = 1,269.32

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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.