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Finding the Fourth Proportional to 2,342.70, 3,510.54 and 1,754.88

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Solution

The fourth proportional to 2,342.70, 3,510.54 and 1,754.88 is: 2,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.70 : 3,510.54 = 1,754.88 : x
  2. Step 2: Convert to fraction form
    2,342.70/3,510.54 = 1,754.88/x
  3. Step 3: Cross multiply
    2,342.70x = 3,510.54 × 1,754.88
  4. Step 4: Simplify right side
    2,342.70x = 6,160,576.44
  5. Step 5: Solve for x
    x = 6,160,576.44/2,342.70
  6. Step 6: Final answer
    x = 2,629.69

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1.5x scale

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.