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Finding the Fourth Proportional to 2,712.57, 4,066.97 and 957.17

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Solution

The fourth proportional to 2,712.57, 4,066.97 and 957.17 is: 1,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.57 : 4,066.97 = 957.17 : x
  2. Step 2: Convert to fraction form
    2,712.57/4,066.97 = 957.17/x
  3. Step 3: Cross multiply
    2,712.57x = 4,066.97 × 957.17
  4. Step 4: Simplify right side
    2,712.57x = 3,892,756.55
  5. Step 5: Solve for x
    x = 3,892,756.55/2,712.57
  6. Step 6: Final answer
    x = 1,435.08

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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.