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Finding the Fourth Proportional to 2,447.06, 3,670.92 and 966.38

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Solution

The fourth proportional to 2,447.06, 3,670.92 and 966.38 is: 1,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.06 : 3,670.92 = 966.38 : x
  2. Step 2: Convert to fraction form
    2,447.06/3,670.92 = 966.38/x
  3. Step 3: Cross multiply
    2,447.06x = 3,670.92 × 966.38
  4. Step 4: Simplify right side
    2,447.06x = 3,547,485.32
  5. Step 5: Solve for x
    x = 3,547,485.32/2,447.06
  6. Step 6: Final answer
    x = 1,449.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.