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Finding the Fourth Proportional to 1,444.48, 1,992.16 and 1,164.63

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Solution

The fourth proportional to 1,444.48, 1,992.16 and 1,164.63 is: 1,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.48 : 1,992.16 = 1,164.63 : x
  2. Step 2: Convert to fraction form
    1,444.48/1,992.16 = 1,164.63/x
  3. Step 3: Cross multiply
    1,444.48x = 1,992.16 × 1,164.63
  4. Step 4: Simplify right side
    1,444.48x = 2,320,116.43
  5. Step 5: Solve for x
    x = 2,320,116.43/1,444.48
  6. Step 6: Final answer
    x = 1,606.19

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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.