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Finding the Fourth Proportional to 2,704.89, 3,732.70 and 1,526.21

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Solution

The fourth proportional to 2,704.89, 3,732.70 and 1,526.21 is: 2,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.89 : 3,732.70 = 1,526.21 : x
  2. Step 2: Convert to fraction form
    2,704.89/3,732.70 = 1,526.21/x
  3. Step 3: Cross multiply
    2,704.89x = 3,732.70 × 1,526.21
  4. Step 4: Simplify right side
    2,704.89x = 5,696,884.07
  5. Step 5: Solve for x
    x = 5,696,884.07/2,704.89
  6. Step 6: Final answer
    x = 2,106.14

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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.