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Finding the Fourth Proportional to 3,011.95, 4,515.20 and 1,164.29

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Solution

The fourth proportional to 3,011.95, 4,515.20 and 1,164.29 is: 1,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.95 : 4,515.20 = 1,164.29 : x
  2. Step 2: Convert to fraction form
    3,011.95/4,515.20 = 1,164.29/x
  3. Step 3: Cross multiply
    3,011.95x = 4,515.20 × 1,164.29
  4. Step 4: Simplify right side
    3,011.95x = 5,257,002.21
  5. Step 5: Solve for x
    x = 5,257,002.21/3,011.95
  6. Step 6: Final answer
    x = 1,745.38

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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.