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Finding the Fourth Proportional to 2,605.13, 3,907.10 and 755.84

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Solution

The fourth proportional to 2,605.13, 3,907.10 and 755.84 is: 1,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.13 : 3,907.10 = 755.84 : x
  2. Step 2: Convert to fraction form
    2,605.13/3,907.10 = 755.84/x
  3. Step 3: Cross multiply
    2,605.13x = 3,907.10 × 755.84
  4. Step 4: Simplify right side
    2,605.13x = 2,953,119.15
  5. Step 5: Solve for x
    x = 2,953,119.15/2,605.13
  6. Step 6: Final answer
    x = 1,133.58

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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.