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Finding the Fourth Proportional to 2,973.92, 4,460.87 and 782.46

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Solution

The fourth proportional to 2,973.92, 4,460.87 and 782.46 is: 1,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.92 : 4,460.87 = 782.46 : x
  2. Step 2: Convert to fraction form
    2,973.92/4,460.87 = 782.46/x
  3. Step 3: Cross multiply
    2,973.92x = 4,460.87 × 782.46
  4. Step 4: Simplify right side
    2,973.92x = 3,490,454.30
  5. Step 5: Solve for x
    x = 3,490,454.30/2,973.92
  6. Step 6: Final answer
    x = 1,173.69

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