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Finding the Fourth Proportional to 2,146.96, 3,215.28 and 1,170.64

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Solution

The fourth proportional to 2,146.96, 3,215.28 and 1,170.64 is: 1,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.96 : 3,215.28 = 1,170.64 : x
  2. Step 2: Convert to fraction form
    2,146.96/3,215.28 = 1,170.64/x
  3. Step 3: Cross multiply
    2,146.96x = 3,215.28 × 1,170.64
  4. Step 4: Simplify right side
    2,146.96x = 3,763,935.38
  5. Step 5: Solve for x
    x = 3,763,935.38/2,146.96
  6. Step 6: Final answer
    x = 1,753.15

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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.