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Finding the Fourth Proportional to 1,444.14, 1,992.12 and 854.56

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Solution

The fourth proportional to 1,444.14, 1,992.12 and 854.56 is: 1,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.14 : 1,992.12 = 854.56 : x
  2. Step 2: Convert to fraction form
    1,444.14/1,992.12 = 854.56/x
  3. Step 3: Cross multiply
    1,444.14x = 1,992.12 × 854.56
  4. Step 4: Simplify right side
    1,444.14x = 1,702,386.07
  5. Step 5: Solve for x
    x = 1,702,386.07/1,444.14
  6. Step 6: Final answer
    x = 1,178.82

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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.