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Finding the Fourth Proportional to 1,719.23, 2,575.80 and 1,409.40

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Solution

The fourth proportional to 1,719.23, 2,575.80 and 1,409.40 is: 2,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.23 : 2,575.80 = 1,409.40 : x
  2. Step 2: Convert to fraction form
    1,719.23/2,575.80 = 1,409.40/x
  3. Step 3: Cross multiply
    1,719.23x = 2,575.80 × 1,409.40
  4. Step 4: Simplify right side
    1,719.23x = 3,630,332.52
  5. Step 5: Solve for x
    x = 3,630,332.52/1,719.23
  6. Step 6: Final answer
    x = 2,111.61

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