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Finding the Fourth Proportional to 2,129.82, 3,197.70 and 1,404.06

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Solution

The fourth proportional to 2,129.82, 3,197.70 and 1,404.06 is: 2,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.82 : 3,197.70 = 1,404.06 : x
  2. Step 2: Convert to fraction form
    2,129.82/3,197.70 = 1,404.06/x
  3. Step 3: Cross multiply
    2,129.82x = 3,197.70 × 1,404.06
  4. Step 4: Simplify right side
    2,129.82x = 4,489,762.66
  5. Step 5: Solve for x
    x = 4,489,762.66/2,129.82
  6. Step 6: Final answer
    x = 2,108.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.