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Finding the Fourth Proportional to 2,581.99, 3,563.00 and 1,403.06

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Solution

The fourth proportional to 2,581.99, 3,563.00 and 1,403.06 is: 1,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.99 : 3,563.00 = 1,403.06 : x
  2. Step 2: Convert to fraction form
    2,581.99/3,563.00 = 1,403.06/x
  3. Step 3: Cross multiply
    2,581.99x = 3,563.00 × 1,403.06
  4. Step 4: Simplify right side
    2,581.99x = 4,999,091.10
  5. Step 5: Solve for x
    x = 4,999,091.10/2,581.99
  6. Step 6: Final answer
    x = 1,936.14

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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.