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Finding the Fourth Proportional to 2,477.51, 3,716.37 and 917.22

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Solution

The fourth proportional to 2,477.51, 3,716.37 and 917.22 is: 1,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.51 : 3,716.37 = 917.22 : x
  2. Step 2: Convert to fraction form
    2,477.51/3,716.37 = 917.22/x
  3. Step 3: Cross multiply
    2,477.51x = 3,716.37 × 917.22
  4. Step 4: Simplify right side
    2,477.51x = 3,408,728.89
  5. Step 5: Solve for x
    x = 3,408,728.89/2,477.51
  6. Step 6: Final answer
    x = 1,375.87

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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.