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Finding the Fourth Proportional to 1,346.24, 1,858.61 and 874.28

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Solution

The fourth proportional to 1,346.24, 1,858.61 and 874.28 is: 1,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.24 : 1,858.61 = 874.28 : x
  2. Step 2: Convert to fraction form
    1,346.24/1,858.61 = 874.28/x
  3. Step 3: Cross multiply
    1,346.24x = 1,858.61 × 874.28
  4. Step 4: Simplify right side
    1,346.24x = 1,624,945.55
  5. Step 5: Solve for x
    x = 1,624,945.55/1,346.24
  6. Step 6: Final answer
    x = 1,207.03

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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.