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Finding the Fourth Proportional to 3,256.26, 4,877.85 and 1,498.81

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Solution

The fourth proportional to 3,256.26, 4,877.85 and 1,498.81 is: 2,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.26 : 4,877.85 = 1,498.81 : x
  2. Step 2: Convert to fraction form
    3,256.26/4,877.85 = 1,498.81/x
  3. Step 3: Cross multiply
    3,256.26x = 4,877.85 × 1,498.81
  4. Step 4: Simplify right side
    3,256.26x = 7,310,946.45
  5. Step 5: Solve for x
    x = 7,310,946.45/3,256.26
  6. Step 6: Final answer
    x = 2,245.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.