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Finding the Fourth Proportional to 3,065.38, 4,598.09 and 756.88

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Solution

The fourth proportional to 3,065.38, 4,598.09 and 756.88 is: 1,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.38 : 4,598.09 = 756.88 : x
  2. Step 2: Convert to fraction form
    3,065.38/4,598.09 = 756.88/x
  3. Step 3: Cross multiply
    3,065.38x = 4,598.09 × 756.88
  4. Step 4: Simplify right side
    3,065.38x = 3,480,202.36
  5. Step 5: Solve for x
    x = 3,480,202.36/3,065.38
  6. Step 6: Final answer
    x = 1,135.32

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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.