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Finding the Fourth Proportional to 2,564.32, 3,850.04 and 1,315.80

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Solution

The fourth proportional to 2,564.32, 3,850.04 and 1,315.80 is: 1,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.32 : 3,850.04 = 1,315.80 : x
  2. Step 2: Convert to fraction form
    2,564.32/3,850.04 = 1,315.80/x
  3. Step 3: Cross multiply
    2,564.32x = 3,850.04 × 1,315.80
  4. Step 4: Simplify right side
    2,564.32x = 5,065,882.63
  5. Step 5: Solve for x
    x = 5,065,882.63/2,564.32
  6. Step 6: Final answer
    x = 1,975.53

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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.