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Finding the Fourth Proportional to 2,704.06, 3,731.61 and 1,462.06

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Solution

The fourth proportional to 2,704.06, 3,731.61 and 1,462.06 is: 2,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.06 : 3,731.61 = 1,462.06 : x
  2. Step 2: Convert to fraction form
    2,704.06/3,731.61 = 1,462.06/x
  3. Step 3: Cross multiply
    2,704.06x = 3,731.61 × 1,462.06
  4. Step 4: Simplify right side
    2,704.06x = 5,455,830.41
  5. Step 5: Solve for x
    x = 5,455,830.41/2,704.06
  6. Step 6: Final answer
    x = 2,017.64

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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.