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Finding the Fourth Proportional to 2,701.42, 3,728.04 and 1,522.54

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Solution

The fourth proportional to 2,701.42, 3,728.04 and 1,522.54 is: 2,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.42 : 3,728.04 = 1,522.54 : x
  2. Step 2: Convert to fraction form
    2,701.42/3,728.04 = 1,522.54/x
  3. Step 3: Cross multiply
    2,701.42x = 3,728.04 × 1,522.54
  4. Step 4: Simplify right side
    2,701.42x = 5,676,090.02
  5. Step 5: Solve for x
    x = 5,676,090.02/2,701.42
  6. Step 6: Final answer
    x = 2,101.15

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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.