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Finding the Fourth Proportional to 1,575.86, 2,364.19 and 1,300.66

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Solution

The fourth proportional to 1,575.86, 2,364.19 and 1,300.66 is: 1,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.86 : 2,364.19 = 1,300.66 : x
  2. Step 2: Convert to fraction form
    1,575.86/2,364.19 = 1,300.66/x
  3. Step 3: Cross multiply
    1,575.86x = 2,364.19 × 1,300.66
  4. Step 4: Simplify right side
    1,575.86x = 3,074,998.20
  5. Step 5: Solve for x
    x = 3,074,998.20/1,575.86
  6. Step 6: Final answer
    x = 1,951.32

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