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Finding the Fourth Proportional to 2,604, 3,906.63 and 1,065

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Solution

The fourth proportional to 2,604, 3,906.63 and 1,065 is: 1,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604 : 3,906.63 = 1,065 : x
  2. Step 2: Convert to fraction form
    2,604/3,906.63 = 1,065/x
  3. Step 3: Cross multiply
    2,604x = 3,906.63 × 1,065
  4. Step 4: Simplify right side
    2,604x = 4,160,560.95
  5. Step 5: Solve for x
    x = 4,160,560.95/2,604
  6. Step 6: Final answer
    x = 1,597.76

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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.