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Finding the Fourth Proportional to 2,581.34, 3,563.06 and 1,649.84

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Solution

The fourth proportional to 2,581.34, 3,563.06 and 1,649.84 is: 2,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.34 : 3,563.06 = 1,649.84 : x
  2. Step 2: Convert to fraction form
    2,581.34/3,563.06 = 1,649.84/x
  3. Step 3: Cross multiply
    2,581.34x = 3,563.06 × 1,649.84
  4. Step 4: Simplify right side
    2,581.34x = 5,878,478.91
  5. Step 5: Solve for x
    x = 5,878,478.91/2,581.34
  6. Step 6: Final answer
    x = 2,277.30

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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.