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Finding the Fourth Proportional to 2,735.34, 3,776.03 and 1,791.18

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Solution

The fourth proportional to 2,735.34, 3,776.03 and 1,791.18 is: 2,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.34 : 3,776.03 = 1,791.18 : x
  2. Step 2: Convert to fraction form
    2,735.34/3,776.03 = 1,791.18/x
  3. Step 3: Cross multiply
    2,735.34x = 3,776.03 × 1,791.18
  4. Step 4: Simplify right side
    2,735.34x = 6,763,549.42
  5. Step 5: Solve for x
    x = 6,763,549.42/2,735.34
  6. Step 6: Final answer
    x = 2,472.65

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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.