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Finding the Fourth Proportional to 2,704.62, 4,053.93 and 1,242.30

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Solution

The fourth proportional to 2,704.62, 4,053.93 and 1,242.30 is: 1,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.62 : 4,053.93 = 1,242.30 : x
  2. Step 2: Convert to fraction form
    2,704.62/4,053.93 = 1,242.30/x
  3. Step 3: Cross multiply
    2,704.62x = 4,053.93 × 1,242.30
  4. Step 4: Simplify right side
    2,704.62x = 5,036,197.24
  5. Step 5: Solve for x
    x = 5,036,197.24/2,704.62
  6. Step 6: Final answer
    x = 1,862.07

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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.