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Finding the Fourth Proportional to 2,670.42, 4,000.42 and 1,837.34

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Solution

The fourth proportional to 2,670.42, 4,000.42 and 1,837.34 is: 2,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.42 : 4,000.42 = 1,837.34 : x
  2. Step 2: Convert to fraction form
    2,670.42/4,000.42 = 1,837.34/x
  3. Step 3: Cross multiply
    2,670.42x = 4,000.42 × 1,837.34
  4. Step 4: Simplify right side
    2,670.42x = 7,350,128.98
  5. Step 5: Solve for x
    x = 7,350,128.98/2,670.42
  6. Step 6: Final answer
    x = 2,752.42

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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.