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Finding the Fourth Proportional to 2,581.94, 3,563.05 and 1,403.01

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Solution

The fourth proportional to 2,581.94, 3,563.05 and 1,403.01 is: 1,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.94 : 3,563.05 = 1,403.01 : x
  2. Step 2: Convert to fraction form
    2,581.94/3,563.05 = 1,403.01/x
  3. Step 3: Cross multiply
    2,581.94x = 3,563.05 × 1,403.01
  4. Step 4: Simplify right side
    2,581.94x = 4,998,994.78
  5. Step 5: Solve for x
    x = 4,998,994.78/2,581.94
  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.