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Finding the Fourth Proportional to 2,365.68, 3,264.72 and 1,581.12

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Solution

The fourth proportional to 2,365.68, 3,264.72 and 1,581.12 is: 2,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.68 : 3,264.72 = 1,581.12 : x
  2. Step 2: Convert to fraction form
    2,365.68/3,264.72 = 1,581.12/x
  3. Step 3: Cross multiply
    2,365.68x = 3,264.72 × 1,581.12
  4. Step 4: Simplify right side
    2,365.68x = 5,161,914.09
  5. Step 5: Solve for x
    x = 5,161,914.09/2,365.68
  6. Step 6: Final answer
    x = 2,182.00

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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.