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Finding the Fourth Proportional to 2,682.06, 3,701.22 and 1,503.06

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Solution

The fourth proportional to 2,682.06, 3,701.22 and 1,503.06 is: 2,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.06 : 3,701.22 = 1,503.06 : x
  2. Step 2: Convert to fraction form
    2,682.06/3,701.22 = 1,503.06/x
  3. Step 3: Cross multiply
    2,682.06x = 3,701.22 × 1,503.06
  4. Step 4: Simplify right side
    2,682.06x = 5,563,155.73
  5. Step 5: Solve for x
    x = 5,563,155.73/2,682.06
  6. Step 6: Final answer
    x = 2,074.21

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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.