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Finding the Fourth Proportional to 2,342.76, 3,507.42 and 1,830.12

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Solution

The fourth proportional to 2,342.76, 3,507.42 and 1,830.12 is: 2,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.76 : 3,507.42 = 1,830.12 : x
  2. Step 2: Convert to fraction form
    2,342.76/3,507.42 = 1,830.12/x
  3. Step 3: Cross multiply
    2,342.76x = 3,507.42 × 1,830.12
  4. Step 4: Simplify right side
    2,342.76x = 6,418,999.49
  5. Step 5: Solve for x
    x = 6,418,999.49/2,342.76
  6. Step 6: Final answer
    x = 2,739.93

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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.