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Finding the Fourth Proportional to 2,911.72, 4,366.50 and 1,245.64

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Solution

The fourth proportional to 2,911.72, 4,366.50 and 1,245.64 is: 1,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.72 : 4,366.50 = 1,245.64 : x
  2. Step 2: Convert to fraction form
    2,911.72/4,366.50 = 1,245.64/x
  3. Step 3: Cross multiply
    2,911.72x = 4,366.50 × 1,245.64
  4. Step 4: Simplify right side
    2,911.72x = 5,439,087.06
  5. Step 5: Solve for x
    x = 5,439,087.06/2,911.72
  6. Step 6: Final answer
    x = 1,868.00

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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.