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Finding the Fourth Proportional to 1,606.05, 2,409.39 and 510.12

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Solution

The fourth proportional to 1,606.05, 2,409.39 and 510.12 is: 765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.05 : 2,409.39 = 510.12 : x
  2. Step 2: Convert to fraction form
    1,606.05/2,409.39 = 510.12/x
  3. Step 3: Cross multiply
    1,606.05x = 2,409.39 × 510.12
  4. Step 4: Simplify right side
    1,606.05x = 1,229,078.03
  5. Step 5: Solve for x
    x = 1,229,078.03/1,606.05
  6. Step 6: Final answer
    x = 765.28

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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.