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Finding the Fourth Proportional to 2,971.75, 4,457.87 and 919.75

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Solution

The fourth proportional to 2,971.75, 4,457.87 and 919.75 is: 1,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.75 : 4,457.87 = 919.75 : x
  2. Step 2: Convert to fraction form
    2,971.75/4,457.87 = 919.75/x
  3. Step 3: Cross multiply
    2,971.75x = 4,457.87 × 919.75
  4. Step 4: Simplify right side
    2,971.75x = 4,100,125.93
  5. Step 5: Solve for x
    x = 4,100,125.93/2,971.75
  6. Step 6: Final answer
    x = 1,379.70

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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.