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Finding the Fourth Proportional to 2,562.93, 3,838.23 and 1,738.71

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Solution

The fourth proportional to 2,562.93, 3,838.23 and 1,738.71 is: 2,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.93 : 3,838.23 = 1,738.71 : x
  2. Step 2: Convert to fraction form
    2,562.93/3,838.23 = 1,738.71/x
  3. Step 3: Cross multiply
    2,562.93x = 3,838.23 × 1,738.71
  4. Step 4: Simplify right side
    2,562.93x = 6,673,568.88
  5. Step 5: Solve for x
    x = 6,673,568.88/2,562.93
  6. Step 6: Final answer
    x = 2,603.88

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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.