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Finding the Fourth Proportional to 1,566.40, 2,347.64 and 1,370.94

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Solution

The fourth proportional to 1,566.40, 2,347.64 and 1,370.94 is: 2,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.40 : 2,347.64 = 1,370.94 : x
  2. Step 2: Convert to fraction form
    1,566.40/2,347.64 = 1,370.94/x
  3. Step 3: Cross multiply
    1,566.40x = 2,347.64 × 1,370.94
  4. Step 4: Simplify right side
    1,566.40x = 3,218,473.58
  5. Step 5: Solve for x
    x = 3,218,473.58/1,566.40
  6. Step 6: Final answer
    x = 2,054.69

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