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Finding the Fourth Proportional to 1,298.04, 1,944.64 and 1,152.24

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Solution

The fourth proportional to 1,298.04, 1,944.64 and 1,152.24 is: 1,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.04 : 1,944.64 = 1,152.24 : x
  2. Step 2: Convert to fraction form
    1,298.04/1,944.64 = 1,152.24/x
  3. Step 3: Cross multiply
    1,298.04x = 1,944.64 × 1,152.24
  4. Step 4: Simplify right side
    1,298.04x = 2,240,691.99
  5. Step 5: Solve for x
    x = 2,240,691.99/1,298.04
  6. Step 6: Final answer
    x = 1,726.21

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