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Finding the Fourth Proportional to 2,694.98, 3,718.70 and 1,576.10

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Solution

The fourth proportional to 2,694.98, 3,718.70 and 1,576.10 is: 2,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.98 : 3,718.70 = 1,576.10 : x
  2. Step 2: Convert to fraction form
    2,694.98/3,718.70 = 1,576.10/x
  3. Step 3: Cross multiply
    2,694.98x = 3,718.70 × 1,576.10
  4. Step 4: Simplify right side
    2,694.98x = 5,861,043.07
  5. Step 5: Solve for x
    x = 5,861,043.07/2,694.98
  6. Step 6: Final answer
    x = 2,174.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.