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Finding the Fourth Proportional to 2,703.90, 3,722.43 and 2,371.80

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Solution

The fourth proportional to 2,703.90, 3,722.43 and 2,371.80 is: 3,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.90 : 3,722.43 = 2,371.80 : x
  2. Step 2: Convert to fraction form
    2,703.90/3,722.43 = 2,371.80/x
  3. Step 3: Cross multiply
    2,703.90x = 3,722.43 × 2,371.80
  4. Step 4: Simplify right side
    2,703.90x = 8,828,859.47
  5. Step 5: Solve for x
    x = 8,828,859.47/2,703.90
  6. Step 6: Final answer
    x = 3,265.23

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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.