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Finding the Fourth Proportional to 1,346.46, 1,858.71 and 892.18

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Solution

The fourth proportional to 1,346.46, 1,858.71 and 892.18 is: 1,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.46 : 1,858.71 = 892.18 : x
  2. Step 2: Convert to fraction form
    1,346.46/1,858.71 = 892.18/x
  3. Step 3: Cross multiply
    1,346.46x = 1,858.71 × 892.18
  4. Step 4: Simplify right side
    1,346.46x = 1,658,299.43
  5. Step 5: Solve for x
    x = 1,658,299.43/1,346.46
  6. Step 6: Final answer
    x = 1,231.60

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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.