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Finding the Fourth Proportional to 1,566.20, 2,345.70 and 1,530.20

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Solution

The fourth proportional to 1,566.20, 2,345.70 and 1,530.20 is: 2,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.20 : 2,345.70 = 1,530.20 : x
  2. Step 2: Convert to fraction form
    1,566.20/2,345.70 = 1,530.20/x
  3. Step 3: Cross multiply
    1,566.20x = 2,345.70 × 1,530.20
  4. Step 4: Simplify right side
    1,566.20x = 3,589,390.14
  5. Step 5: Solve for x
    x = 3,589,390.14/1,566.20
  6. Step 6: Final answer
    x = 2,291.78

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