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Finding the Fourth Proportional to 1,770.39, 2,648.16 and 1,477.98

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Solution

The fourth proportional to 1,770.39, 2,648.16 and 1,477.98 is: 2,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.39 : 2,648.16 = 1,477.98 : x
  2. Step 2: Convert to fraction form
    1,770.39/2,648.16 = 1,477.98/x
  3. Step 3: Cross multiply
    1,770.39x = 2,648.16 × 1,477.98
  4. Step 4: Simplify right side
    1,770.39x = 3,913,927.52
  5. Step 5: Solve for x
    x = 3,913,927.52/1,770.39
  6. Step 6: Final answer
    x = 2,210.77

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