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Finding the Fourth Proportional to 1,612.85, 2,226.20 and 1,053.40

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Solution

The fourth proportional to 1,612.85, 2,226.20 and 1,053.40 is: 1,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.85 : 2,226.20 = 1,053.40 : x
  2. Step 2: Convert to fraction form
    1,612.85/2,226.20 = 1,053.40/x
  3. Step 3: Cross multiply
    1,612.85x = 2,226.20 × 1,053.40
  4. Step 4: Simplify right side
    1,612.85x = 2,345,062.68
  5. Step 5: Solve for x
    x = 2,345,062.68/1,612.85
  6. Step 6: Final answer
    x = 1,453.99

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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.