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Finding the Fourth Proportional to 3,256.90, 4,494.49 and 1,764.79

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Solution

The fourth proportional to 3,256.90, 4,494.49 and 1,764.79 is: 2,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.90 : 4,494.49 = 1,764.79 : x
  2. Step 2: Convert to fraction form
    3,256.90/4,494.49 = 1,764.79/x
  3. Step 3: Cross multiply
    3,256.90x = 4,494.49 × 1,764.79
  4. Step 4: Simplify right side
    3,256.90x = 7,931,815.36
  5. Step 5: Solve for x
    x = 7,931,815.36/3,256.90
  6. Step 6: Final answer
    x = 2,435.39

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Why These Related Problems?

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