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Finding the Fourth Proportional to 2,670.83, 4,001.09 and 1,627.84

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Solution

The fourth proportional to 2,670.83, 4,001.09 and 1,627.84 is: 2,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.83 : 4,001.09 = 1,627.84 : x
  2. Step 2: Convert to fraction form
    2,670.83/4,001.09 = 1,627.84/x
  3. Step 3: Cross multiply
    2,670.83x = 4,001.09 × 1,627.84
  4. Step 4: Simplify right side
    2,670.83x = 6,513,108.70
  5. Step 5: Solve for x
    x = 6,513,108.70/2,670.83
  6. Step 6: Final answer
    x = 2,438.60

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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.