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Finding the Fourth Proportional to 2,505.94, 3,759 and 1,269.88

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Solution

The fourth proportional to 2,505.94, 3,759 and 1,269.88 is: 1,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.94 : 3,759 = 1,269.88 : x
  2. Step 2: Convert to fraction form
    2,505.94/3,759 = 1,269.88/x
  3. Step 3: Cross multiply
    2,505.94x = 3,759 × 1,269.88
  4. Step 4: Simplify right side
    2,505.94x = 4,773,478.92
  5. Step 5: Solve for x
    x = 4,773,478.92/2,505.94
  6. Step 6: Final answer
    x = 1,904.87

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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.