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Finding the Fourth Proportional to 2,522.34, 3,781.08 and 790.56

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Solution

The fourth proportional to 2,522.34, 3,781.08 and 790.56 is: 1,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.34 : 3,781.08 = 790.56 : x
  2. Step 2: Convert to fraction form
    2,522.34/3,781.08 = 790.56/x
  3. Step 3: Cross multiply
    2,522.34x = 3,781.08 × 790.56
  4. Step 4: Simplify right side
    2,522.34x = 2,989,170.60
  5. Step 5: Solve for x
    x = 2,989,170.60/2,522.34
  6. Step 6: Final answer
    x = 1,185.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.