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Finding the Fourth Proportional to 2,209.98, 3,315.83 and 976.52

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Solution

The fourth proportional to 2,209.98, 3,315.83 and 976.52 is: 1,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.98 : 3,315.83 = 976.52 : x
  2. Step 2: Convert to fraction form
    2,209.98/3,315.83 = 976.52/x
  3. Step 3: Cross multiply
    2,209.98x = 3,315.83 × 976.52
  4. Step 4: Simplify right side
    2,209.98x = 3,237,952.85
  5. Step 5: Solve for x
    x = 3,237,952.85/2,209.98
  6. Step 6: Final answer
    x = 1,465.15

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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.