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Finding the Fourth Proportional to 1,582.63, 2,372.80 and 760.27

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Solution

The fourth proportional to 1,582.63, 2,372.80 and 760.27 is: 1,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.63 : 2,372.80 = 760.27 : x
  2. Step 2: Convert to fraction form
    1,582.63/2,372.80 = 760.27/x
  3. Step 3: Cross multiply
    1,582.63x = 2,372.80 × 760.27
  4. Step 4: Simplify right side
    1,582.63x = 1,803,968.66
  5. Step 5: Solve for x
    x = 1,803,968.66/1,582.63
  6. Step 6: Final answer
    x = 1,139.85

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