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Finding the Fourth Proportional to 2,209.99, 3,328.14 and 1,924.87

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Solution

The fourth proportional to 2,209.99, 3,328.14 and 1,924.87 is: 2,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.99 : 3,328.14 = 1,924.87 : x
  2. Step 2: Convert to fraction form
    2,209.99/3,328.14 = 1,924.87/x
  3. Step 3: Cross multiply
    2,209.99x = 3,328.14 × 1,924.87
  4. Step 4: Simplify right side
    2,209.99x = 6,406,236.84
  5. Step 5: Solve for x
    x = 6,406,236.84/2,209.99
  6. Step 6: Final answer
    x = 2,898.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.