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Finding the Fourth Proportional to 2,066.53, 3,097.16 and 968.47

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Solution

The fourth proportional to 2,066.53, 3,097.16 and 968.47 is: 1,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.53 : 3,097.16 = 968.47 : x
  2. Step 2: Convert to fraction form
    2,066.53/3,097.16 = 968.47/x
  3. Step 3: Cross multiply
    2,066.53x = 3,097.16 × 968.47
  4. Step 4: Simplify right side
    2,066.53x = 2,999,501.70
  5. Step 5: Solve for x
    x = 2,999,501.70/2,066.53
  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.