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Finding the Fourth Proportional to 2,405.63, 3,607.10 and 845.20

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Solution

The fourth proportional to 2,405.63, 3,607.10 and 845.20 is: 1,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.63 : 3,607.10 = 845.20 : x
  2. Step 2: Convert to fraction form
    2,405.63/3,607.10 = 845.20/x
  3. Step 3: Cross multiply
    2,405.63x = 3,607.10 × 845.20
  4. Step 4: Simplify right side
    2,405.63x = 3,048,716.69
  5. Step 5: Solve for x
    x = 3,048,716.69/2,405.63
  6. Step 6: Final answer
    x = 1,267.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.