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Finding the Fourth Proportional to 3,026.48, 4,543.80 and 1,566.80

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Solution

The fourth proportional to 3,026.48, 4,543.80 and 1,566.80 is: 2,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.48 : 4,543.80 = 1,566.80 : x
  2. Step 2: Convert to fraction form
    3,026.48/4,543.80 = 1,566.80/x
  3. Step 3: Cross multiply
    3,026.48x = 4,543.80 × 1,566.80
  4. Step 4: Simplify right side
    3,026.48x = 7,119,225.84
  5. Step 5: Solve for x
    x = 7,119,225.84/3,026.48
  6. Step 6: Final answer
    x = 2,352.31

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