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Finding the Fourth Proportional to 3,225.98, 4,838.74 and 1,834.95

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Solution

The fourth proportional to 3,225.98, 4,838.74 and 1,834.95 is: 2,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.98 : 4,838.74 = 1,834.95 : x
  2. Step 2: Convert to fraction form
    3,225.98/4,838.74 = 1,834.95/x
  3. Step 3: Cross multiply
    3,225.98x = 4,838.74 × 1,834.95
  4. Step 4: Simplify right side
    3,225.98x = 8,878,859.52
  5. Step 5: Solve for x
    x = 8,878,859.52/3,225.98
  6. Step 6: Final answer
    x = 2,752.30

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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.