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Finding the Fourth Proportional to 2,477.82, 3,717 and 917.64

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Solution

The fourth proportional to 2,477.82, 3,717 and 917.64 is: 1,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.82 : 3,717 = 917.64 : x
  2. Step 2: Convert to fraction form
    2,477.82/3,717 = 917.64/x
  3. Step 3: Cross multiply
    2,477.82x = 3,717 × 917.64
  4. Step 4: Simplify right side
    2,477.82x = 3,410,867.88
  5. Step 5: Solve for x
    x = 3,410,867.88/2,477.82
  6. Step 6: Final answer
    x = 1,376.56

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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.