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Finding the Fourth Proportional to 3,026.63, 4,547.09 and 1,780.42

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Solution

The fourth proportional to 3,026.63, 4,547.09 and 1,780.42 is: 2,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.63 : 4,547.09 = 1,780.42 : x
  2. Step 2: Convert to fraction form
    3,026.63/4,547.09 = 1,780.42/x
  3. Step 3: Cross multiply
    3,026.63x = 4,547.09 × 1,780.42
  4. Step 4: Simplify right side
    3,026.63x = 8,095,743.95
  5. Step 5: Solve for x
    x = 8,095,743.95/3,026.63
  6. Step 6: Final answer
    x = 2,674.83

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