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Finding the Fourth Proportional to 2,852.34, 3,937.20 and 1,672.98

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Solution

The fourth proportional to 2,852.34, 3,937.20 and 1,672.98 is: 2,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.34 : 3,937.20 = 1,672.98 : x
  2. Step 2: Convert to fraction form
    2,852.34/3,937.20 = 1,672.98/x
  3. Step 3: Cross multiply
    2,852.34x = 3,937.20 × 1,672.98
  4. Step 4: Simplify right side
    2,852.34x = 6,586,856.86
  5. Step 5: Solve for x
    x = 6,586,856.86/2,852.34
  6. Step 6: Final answer
    x = 2,309.28

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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.