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Finding the Fourth Proportional to 3,326.88, 4,590.90 and 1,834.50

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Solution

The fourth proportional to 3,326.88, 4,590.90 and 1,834.50 is: 2,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.88 : 4,590.90 = 1,834.50 : x
  2. Step 2: Convert to fraction form
    3,326.88/4,590.90 = 1,834.50/x
  3. Step 3: Cross multiply
    3,326.88x = 4,590.90 × 1,834.50
  4. Step 4: Simplify right side
    3,326.88x = 8,422,006.05
  5. Step 5: Solve for x
    x = 8,422,006.05/3,326.88
  6. Step 6: Final answer
    x = 2,531.50

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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.