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Finding the Fourth Proportional to 1,706.71, 2,555.07 and 1,297.48

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Solution

The fourth proportional to 1,706.71, 2,555.07 and 1,297.48 is: 1,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.71 : 2,555.07 = 1,297.48 : x
  2. Step 2: Convert to fraction form
    1,706.71/2,555.07 = 1,297.48/x
  3. Step 3: Cross multiply
    1,706.71x = 2,555.07 × 1,297.48
  4. Step 4: Simplify right side
    1,706.71x = 3,315,152.22
  5. Step 5: Solve for x
    x = 3,315,152.22/1,706.71
  6. Step 6: Final answer
    x = 1,942.42

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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.