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Finding the Fourth Proportional to 4,498.40, 6,747.06 and 1,901

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Solution

The fourth proportional to 4,498.40, 6,747.06 and 1,901 is: 2,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.40 : 6,747.06 = 1,901 : x
  2. Step 2: Convert to fraction form
    4,498.40/6,747.06 = 1,901/x
  3. Step 3: Cross multiply
    4,498.40x = 6,747.06 × 1,901
  4. Step 4: Simplify right side
    4,498.40x = 12,826,161.06
  5. Step 5: Solve for x
    x = 12,826,161.06/4,498.40
  6. Step 6: Final answer
    x = 2,851.27

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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.