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Finding the Fourth Proportional to 1,670.24, 2,305.24 and 962.04

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Solution

The fourth proportional to 1,670.24, 2,305.24 and 962.04 is: 1,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.24 : 2,305.24 = 962.04 : x
  2. Step 2: Convert to fraction form
    1,670.24/2,305.24 = 962.04/x
  3. Step 3: Cross multiply
    1,670.24x = 2,305.24 × 962.04
  4. Step 4: Simplify right side
    1,670.24x = 2,217,733.09
  5. Step 5: Solve for x
    x = 2,217,733.09/1,670.24
  6. Step 6: Final answer
    x = 1,327.79

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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.