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Finding the Fourth Proportional to 1,409.15, 1,946.48 and 1,081.62

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Solution

The fourth proportional to 1,409.15, 1,946.48 and 1,081.62 is: 1,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.15 : 1,946.48 = 1,081.62 : x
  2. Step 2: Convert to fraction form
    1,409.15/1,946.48 = 1,081.62/x
  3. Step 3: Cross multiply
    1,409.15x = 1,946.48 × 1,081.62
  4. Step 4: Simplify right side
    1,409.15x = 2,105,352.37
  5. Step 5: Solve for x
    x = 2,105,352.37/1,409.15
  6. Step 6: Final answer
    x = 1,494.06

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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.