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Finding the Fourth Proportional to 1,560.62, 2,341.07 and 406.38

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Solution

The fourth proportional to 1,560.62, 2,341.07 and 406.38 is: 609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.62 : 2,341.07 = 406.38 : x
  2. Step 2: Convert to fraction form
    1,560.62/2,341.07 = 406.38/x
  3. Step 3: Cross multiply
    1,560.62x = 2,341.07 × 406.38
  4. Step 4: Simplify right side
    1,560.62x = 951,364.03
  5. Step 5: Solve for x
    x = 951,364.03/1,560.62
  6. Step 6: Final answer
    x = 609.61

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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.