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Finding the Fourth Proportional to 4,894.48, 7,342.20 and 1,606.78

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Solution

The fourth proportional to 4,894.48, 7,342.20 and 1,606.78 is: 2,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.48 : 7,342.20 = 1,606.78 : x
  2. Step 2: Convert to fraction form
    4,894.48/7,342.20 = 1,606.78/x
  3. Step 3: Cross multiply
    4,894.48x = 7,342.20 × 1,606.78
  4. Step 4: Simplify right side
    4,894.48x = 11,797,300.12
  5. Step 5: Solve for x
    x = 11,797,300.12/4,894.48
  6. Step 6: Final answer
    x = 2,410.33

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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.