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Finding the Fourth Proportional to 1,904.40, 2,859.75 and 1,598.76

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Solution

The fourth proportional to 1,904.40, 2,859.75 and 1,598.76 is: 2,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.40 : 2,859.75 = 1,598.76 : x
  2. Step 2: Convert to fraction form
    1,904.40/2,859.75 = 1,598.76/x
  3. Step 3: Cross multiply
    1,904.40x = 2,859.75 × 1,598.76
  4. Step 4: Simplify right side
    1,904.40x = 4,572,053.91
  5. Step 5: Solve for x
    x = 4,572,053.91/1,904.40
  6. Step 6: Final answer
    x = 2,400.78

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