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Finding the Fourth Proportional to 2,914.32, 4,021.92 and 1,672.32

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Solution

The fourth proportional to 2,914.32, 4,021.92 and 1,672.32 is: 2,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.32 : 4,021.92 = 1,672.32 : x
  2. Step 2: Convert to fraction form
    2,914.32/4,021.92 = 1,672.32/x
  3. Step 3: Cross multiply
    2,914.32x = 4,021.92 × 1,672.32
  4. Step 4: Simplify right side
    2,914.32x = 6,725,937.25
  5. Step 5: Solve for x
    x = 6,725,937.25/2,914.32
  6. Step 6: Final answer
    x = 2,307.89

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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.