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Finding the Fourth Proportional to 3,209.66, 4,429.14 and 1,883.26

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Solution

The fourth proportional to 3,209.66, 4,429.14 and 1,883.26 is: 2,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.66 : 4,429.14 = 1,883.26 : x
  2. Step 2: Convert to fraction form
    3,209.66/4,429.14 = 1,883.26/x
  3. Step 3: Cross multiply
    3,209.66x = 4,429.14 × 1,883.26
  4. Step 4: Simplify right side
    3,209.66x = 8,341,222.20
  5. Step 5: Solve for x
    x = 8,341,222.20/3,209.66
  6. Step 6: Final answer
    x = 2,598.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.