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Finding the Fourth Proportional to 2,926.91, 4,391.57 and 1,539.90

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Solution

The fourth proportional to 2,926.91, 4,391.57 and 1,539.90 is: 2,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.91 : 4,391.57 = 1,539.90 : x
  2. Step 2: Convert to fraction form
    2,926.91/4,391.57 = 1,539.90/x
  3. Step 3: Cross multiply
    2,926.91x = 4,391.57 × 1,539.90
  4. Step 4: Simplify right side
    2,926.91x = 6,762,570.94
  5. Step 5: Solve for x
    x = 6,762,570.94/2,926.91
  6. Step 6: Final answer
    x = 2,310.49

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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.