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Finding the Fourth Proportional to 2,683.80, 3,704.10 and 1,689.48

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Solution

The fourth proportional to 2,683.80, 3,704.10 and 1,689.48 is: 2,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.80 : 3,704.10 = 1,689.48 : x
  2. Step 2: Convert to fraction form
    2,683.80/3,704.10 = 1,689.48/x
  3. Step 3: Cross multiply
    2,683.80x = 3,704.10 × 1,689.48
  4. Step 4: Simplify right side
    2,683.80x = 6,258,002.87
  5. Step 5: Solve for x
    x = 6,258,002.87/2,683.80
  6. Step 6: Final answer
    x = 2,331.77

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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.