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Finding the Fourth Proportional to 1,776.48, 2,666.09 and 1,160.02

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Solution

The fourth proportional to 1,776.48, 2,666.09 and 1,160.02 is: 1,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.48 : 2,666.09 = 1,160.02 : x
  2. Step 2: Convert to fraction form
    1,776.48/2,666.09 = 1,160.02/x
  3. Step 3: Cross multiply
    1,776.48x = 2,666.09 × 1,160.02
  4. Step 4: Simplify right side
    1,776.48x = 3,092,720.69
  5. Step 5: Solve for x
    x = 3,092,720.69/1,776.48
  6. Step 6: Final answer
    x = 1,740.92

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