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Finding the Fourth Proportional to 2,455.74, 3,388.91 and 1,407.83

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Solution

The fourth proportional to 2,455.74, 3,388.91 and 1,407.83 is: 1,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.74 : 3,388.91 = 1,407.83 : x
  2. Step 2: Convert to fraction form
    2,455.74/3,388.91 = 1,407.83/x
  3. Step 3: Cross multiply
    2,455.74x = 3,388.91 × 1,407.83
  4. Step 4: Simplify right side
    2,455.74x = 4,770,985.18
  5. Step 5: Solve for x
    x = 4,770,985.18/2,455.74
  6. Step 6: Final answer
    x = 1,942.79

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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.