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Finding the Fourth Proportional to 1,346.83, 1,858.10 and 993.60

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Solution

The fourth proportional to 1,346.83, 1,858.10 and 993.60 is: 1,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.83 : 1,858.10 = 993.60 : x
  2. Step 2: Convert to fraction form
    1,346.83/1,858.10 = 993.60/x
  3. Step 3: Cross multiply
    1,346.83x = 1,858.10 × 993.60
  4. Step 4: Simplify right side
    1,346.83x = 1,846,208.16
  5. Step 5: Solve for x
    x = 1,846,208.16/1,346.83
  6. Step 6: Final answer
    x = 1,370.78

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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.