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Finding the Fourth Proportional to 2,477.86, 3,714.95 and 1,162.53

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Solution

The fourth proportional to 2,477.86, 3,714.95 and 1,162.53 is: 1,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.86 : 3,714.95 = 1,162.53 : x
  2. Step 2: Convert to fraction form
    2,477.86/3,714.95 = 1,162.53/x
  3. Step 3: Cross multiply
    2,477.86x = 3,714.95 × 1,162.53
  4. Step 4: Simplify right side
    2,477.86x = 4,318,743.73
  5. Step 5: Solve for x
    x = 4,318,743.73/2,477.86
  6. Step 6: Final answer
    x = 1,742.93

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