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Finding the Fourth Proportional to 2,604.88, 3,910.98 and 1,510.47

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Solution

The fourth proportional to 2,604.88, 3,910.98 and 1,510.47 is: 2,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.88 : 3,910.98 = 1,510.47 : x
  2. Step 2: Convert to fraction form
    2,604.88/3,910.98 = 1,510.47/x
  3. Step 3: Cross multiply
    2,604.88x = 3,910.98 × 1,510.47
  4. Step 4: Simplify right side
    2,604.88x = 5,907,423.62
  5. Step 5: Solve for x
    x = 5,907,423.62/2,604.88
  6. Step 6: Final answer
    x = 2,267.83

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