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Finding the Fourth Proportional to 2,007.40, 2,769.54 and 1,178.92

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Solution

The fourth proportional to 2,007.40, 2,769.54 and 1,178.92 is: 1,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.40 : 2,769.54 = 1,178.92 : x
  2. Step 2: Convert to fraction form
    2,007.40/2,769.54 = 1,178.92/x
  3. Step 3: Cross multiply
    2,007.40x = 2,769.54 × 1,178.92
  4. Step 4: Simplify right side
    2,007.40x = 3,265,066.10
  5. Step 5: Solve for x
    x = 3,265,066.10/2,007.40
  6. Step 6: Final answer
    x = 1,626.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.