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Finding the Fourth Proportional to 2,707.95, 3,735.85 and 1,824.03

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Solution

The fourth proportional to 2,707.95, 3,735.85 and 1,824.03 is: 2,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.95 : 3,735.85 = 1,824.03 : x
  2. Step 2: Convert to fraction form
    2,707.95/3,735.85 = 1,824.03/x
  3. Step 3: Cross multiply
    2,707.95x = 3,735.85 × 1,824.03
  4. Step 4: Simplify right side
    2,707.95x = 6,814,311.82
  5. Step 5: Solve for x
    x = 6,814,311.82/2,707.95
  6. Step 6: Final answer
    x = 2,516.41

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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.