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Finding the Fourth Proportional to 1,705.68, 2,556.60 and 1,319.76

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Solution

The fourth proportional to 1,705.68, 2,556.60 and 1,319.76 is: 1,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.68 : 2,556.60 = 1,319.76 : x
  2. Step 2: Convert to fraction form
    1,705.68/2,556.60 = 1,319.76/x
  3. Step 3: Cross multiply
    1,705.68x = 2,556.60 × 1,319.76
  4. Step 4: Simplify right side
    1,705.68x = 3,374,098.42
  5. Step 5: Solve for x
    x = 3,374,098.42/1,705.68
  6. Step 6: Final answer
    x = 1,978.15

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