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Finding the Fourth Proportional to 1,948.05, 2,920.13 and 777.63

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Solution

The fourth proportional to 1,948.05, 2,920.13 and 777.63 is: 1,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.05 : 2,920.13 = 777.63 : x
  2. Step 2: Convert to fraction form
    1,948.05/2,920.13 = 777.63/x
  3. Step 3: Cross multiply
    1,948.05x = 2,920.13 × 777.63
  4. Step 4: Simplify right side
    1,948.05x = 2,270,776.80
  5. Step 5: Solve for x
    x = 2,270,776.80/1,948.05
  6. Step 6: Final answer
    x = 1,165.67

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