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Finding the Fourth Proportional to 1,566.02, 2,345.88 and 745.08

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Solution

The fourth proportional to 1,566.02, 2,345.88 and 745.08 is: 1,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.02 : 2,345.88 = 745.08 : x
  2. Step 2: Convert to fraction form
    1,566.02/2,345.88 = 745.08/x
  3. Step 3: Cross multiply
    1,566.02x = 2,345.88 × 745.08
  4. Step 4: Simplify right side
    1,566.02x = 1,747,868.27
  5. Step 5: Solve for x
    x = 1,747,868.27/1,566.02
  6. Step 6: Final answer
    x = 1,116.12

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