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Finding the Fourth Proportional to 2,477.20, 3,716.40 and 745.82

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Solution

The fourth proportional to 2,477.20, 3,716.40 and 745.82 is: 1,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.20 : 3,716.40 = 745.82 : x
  2. Step 2: Convert to fraction form
    2,477.20/3,716.40 = 745.82/x
  3. Step 3: Cross multiply
    2,477.20x = 3,716.40 × 745.82
  4. Step 4: Simplify right side
    2,477.20x = 2,771,765.45
  5. Step 5: Solve for x
    x = 2,771,765.45/2,477.20
  6. Step 6: Final answer
    x = 1,118.91

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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.