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Finding the Fourth Proportional to 1,809.99, 2,499.83 and 1,219.50

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Solution

The fourth proportional to 1,809.99, 2,499.83 and 1,219.50 is: 1,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.99 : 2,499.83 = 1,219.50 : x
  2. Step 2: Convert to fraction form
    1,809.99/2,499.83 = 1,219.50/x
  3. Step 3: Cross multiply
    1,809.99x = 2,499.83 × 1,219.50
  4. Step 4: Simplify right side
    1,809.99x = 3,048,541.16
  5. Step 5: Solve for x
    x = 3,048,541.16/1,809.99
  6. Step 6: Final answer
    x = 1,684.29

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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.