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Finding the Fourth Proportional to 3,256.88, 4,494.50 and 1,764.80

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Solution

The fourth proportional to 3,256.88, 4,494.50 and 1,764.80 is: 2,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.88 : 4,494.50 = 1,764.80 : x
  2. Step 2: Convert to fraction form
    3,256.88/4,494.50 = 1,764.80/x
  3. Step 3: Cross multiply
    3,256.88x = 4,494.50 × 1,764.80
  4. Step 4: Simplify right side
    3,256.88x = 7,931,862.30
  5. Step 5: Solve for x
    x = 7,931,862.30/3,256.88
  6. Step 6: Final answer
    x = 2,435.42

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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.