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Finding the Fourth Proportional to 2,605.06, 3,907.61 and 756.30

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Solution

The fourth proportional to 2,605.06, 3,907.61 and 756.30 is: 1,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.06 : 3,907.61 = 756.30 : x
  2. Step 2: Convert to fraction form
    2,605.06/3,907.61 = 756.30/x
  3. Step 3: Cross multiply
    2,605.06x = 3,907.61 × 756.30
  4. Step 4: Simplify right side
    2,605.06x = 2,955,325.44
  5. Step 5: Solve for x
    x = 2,955,325.44/2,605.06
  6. Step 6: Final answer
    x = 1,134.46

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1.5x scale

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.