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Finding the Fourth Proportional to 1,552.88, 2,341.22 and 1,447.14

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Solution

The fourth proportional to 1,552.88, 2,341.22 and 1,447.14 is: 2,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.88 : 2,341.22 = 1,447.14 : x
  2. Step 2: Convert to fraction form
    1,552.88/2,341.22 = 1,447.14/x
  3. Step 3: Cross multiply
    1,552.88x = 2,341.22 × 1,447.14
  4. Step 4: Simplify right side
    1,552.88x = 3,388,073.11
  5. Step 5: Solve for x
    x = 3,388,073.11/1,552.88
  6. Step 6: Final answer
    x = 2,181.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.