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Finding the Fourth Proportional to 1,604.99, 2,215.57 and 1,081.33

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Solution

The fourth proportional to 1,604.99, 2,215.57 and 1,081.33 is: 1,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.99 : 2,215.57 = 1,081.33 : x
  2. Step 2: Convert to fraction form
    1,604.99/2,215.57 = 1,081.33/x
  3. Step 3: Cross multiply
    1,604.99x = 2,215.57 × 1,081.33
  4. Step 4: Simplify right side
    1,604.99x = 2,395,762.31
  5. Step 5: Solve for x
    x = 2,395,762.31/1,604.99
  6. Step 6: Final answer
    x = 1,492.70

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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.