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Finding the Fourth Proportional to 2,066.46, 3,096.93 and 968.51

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Solution

The fourth proportional to 2,066.46, 3,096.93 and 968.51 is: 1,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.46 : 3,096.93 = 968.51 : x
  2. Step 2: Convert to fraction form
    2,066.46/3,096.93 = 968.51/x
  3. Step 3: Cross multiply
    2,066.46x = 3,096.93 × 968.51
  4. Step 4: Simplify right side
    2,066.46x = 2,999,407.67
  5. Step 5: Solve for x
    x = 2,999,407.67/2,066.46
  6. Step 6: Final answer
    x = 1,451.47

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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.