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Finding the Fourth Proportional to 2,643.48, 3,646.44 and 1,581.12

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Solution

The fourth proportional to 2,643.48, 3,646.44 and 1,581.12 is: 2,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.48 : 3,646.44 = 1,581.12 : x
  2. Step 2: Convert to fraction form
    2,643.48/3,646.44 = 1,581.12/x
  3. Step 3: Cross multiply
    2,643.48x = 3,646.44 × 1,581.12
  4. Step 4: Simplify right side
    2,643.48x = 5,765,459.21
  5. Step 5: Solve for x
    x = 5,765,459.21/2,643.48
  6. Step 6: Final answer
    x = 2,181.01

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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.