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Finding the Fourth Proportional to 2,477.12, 3,715.26 and 917.86

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Solution

The fourth proportional to 2,477.12, 3,715.26 and 917.86 is: 1,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.12 : 3,715.26 = 917.86 : x
  2. Step 2: Convert to fraction form
    2,477.12/3,715.26 = 917.86/x
  3. Step 3: Cross multiply
    2,477.12x = 3,715.26 × 917.86
  4. Step 4: Simplify right side
    2,477.12x = 3,410,088.54
  5. Step 5: Solve for x
    x = 3,410,088.54/2,477.12
  6. Step 6: Final answer
    x = 1,376.63

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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.