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Finding the Fourth Proportional to 1,845.82, 2,547.24 and 1,049.12

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Solution

The fourth proportional to 1,845.82, 2,547.24 and 1,049.12 is: 1,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.82 : 2,547.24 = 1,049.12 : x
  2. Step 2: Convert to fraction form
    1,845.82/2,547.24 = 1,049.12/x
  3. Step 3: Cross multiply
    1,845.82x = 2,547.24 × 1,049.12
  4. Step 4: Simplify right side
    1,845.82x = 2,672,360.43
  5. Step 5: Solve for x
    x = 2,672,360.43/1,845.82
  6. Step 6: Final answer
    x = 1,447.79

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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.