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Finding the Fourth Proportional to 1,444.19, 1,992.27 and 946.61

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Solution

The fourth proportional to 1,444.19, 1,992.27 and 946.61 is: 1,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.19 : 1,992.27 = 946.61 : x
  2. Step 2: Convert to fraction form
    1,444.19/1,992.27 = 946.61/x
  3. Step 3: Cross multiply
    1,444.19x = 1,992.27 × 946.61
  4. Step 4: Simplify right side
    1,444.19x = 1,885,892.74
  5. Step 5: Solve for x
    x = 1,885,892.74/1,444.19
  6. Step 6: Final answer
    x = 1,305.85

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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.