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Finding the Fourth Proportional to 1,777.52, 2,666.25 and 802.94

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Solution

The fourth proportional to 1,777.52, 2,666.25 and 802.94 is: 1,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.52 : 2,666.25 = 802.94 : x
  2. Step 2: Convert to fraction form
    1,777.52/2,666.25 = 802.94/x
  3. Step 3: Cross multiply
    1,777.52x = 2,666.25 × 802.94
  4. Step 4: Simplify right side
    1,777.52x = 2,140,825.44
  5. Step 5: Solve for x
    x = 2,140,825.44/1,777.52
  6. Step 6: Final answer
    x = 1,204.39

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