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Finding the Fourth Proportional to 1,670.30, 2,304.90 and 962.09

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Solution

The fourth proportional to 1,670.30, 2,304.90 and 962.09 is: 1,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.30 : 2,304.90 = 962.09 : x
  2. Step 2: Convert to fraction form
    1,670.30/2,304.90 = 962.09/x
  3. Step 3: Cross multiply
    1,670.30x = 2,304.90 × 962.09
  4. Step 4: Simplify right side
    1,670.30x = 2,217,509.72
  5. Step 5: Solve for x
    x = 2,217,509.72/1,670.30
  6. Step 6: Final answer
    x = 1,327.62

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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.