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Finding the Fourth Proportional to 1,902, 2,848.52 and 1,595.82

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Solution

The fourth proportional to 1,902, 2,848.52 and 1,595.82 is: 2,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902 : 2,848.52 = 1,595.82 : x
  2. Step 2: Convert to fraction form
    1,902/2,848.52 = 1,595.82/x
  3. Step 3: Cross multiply
    1,902x = 2,848.52 × 1,595.82
  4. Step 4: Simplify right side
    1,902x = 4,545,725.19
  5. Step 5: Solve for x
    x = 4,545,725.19/1,902
  6. Step 6: Final answer
    x = 2,389.97

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