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Finding the Fourth Proportional to 1,606.68, 2,405.67 and 1,514.54

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Solution

The fourth proportional to 1,606.68, 2,405.67 and 1,514.54 is: 2,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.68 : 2,405.67 = 1,514.54 : x
  2. Step 2: Convert to fraction form
    1,606.68/2,405.67 = 1,514.54/x
  3. Step 3: Cross multiply
    1,606.68x = 2,405.67 × 1,514.54
  4. Step 4: Simplify right side
    1,606.68x = 3,643,471.41
  5. Step 5: Solve for x
    x = 3,643,471.41/1,606.68
  6. Step 6: Final answer
    x = 2,267.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.