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Finding the Fourth Proportional to 2,952.45, 4,071 and 2,205.15

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Solution

The fourth proportional to 2,952.45, 4,071 and 2,205.15 is: 3,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.45 : 4,071 = 2,205.15 : x
  2. Step 2: Convert to fraction form
    2,952.45/4,071 = 2,205.15/x
  3. Step 3: Cross multiply
    2,952.45x = 4,071 × 2,205.15
  4. Step 4: Simplify right side
    2,952.45x = 8,977,165.65
  5. Step 5: Solve for x
    x = 8,977,165.65/2,952.45
  6. Step 6: Final answer
    x = 3,040.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.