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Finding the Fourth Proportional to 2,673.90, 3,689.23 and 1,834.80

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Solution

The fourth proportional to 2,673.90, 3,689.23 and 1,834.80 is: 2,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.90 : 3,689.23 = 1,834.80 : x
  2. Step 2: Convert to fraction form
    2,673.90/3,689.23 = 1,834.80/x
  3. Step 3: Cross multiply
    2,673.90x = 3,689.23 × 1,834.80
  4. Step 4: Simplify right side
    2,673.90x = 6,768,999.20
  5. Step 5: Solve for x
    x = 6,768,999.20/2,673.90
  6. Step 6: Final answer
    x = 2,531.51

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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.