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Finding the Fourth Proportional to 1,298.80, 1,938.64 and 1,117.36

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Solution

The fourth proportional to 1,298.80, 1,938.64 and 1,117.36 is: 1,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.80 : 1,938.64 = 1,117.36 : x
  2. Step 2: Convert to fraction form
    1,298.80/1,938.64 = 1,117.36/x
  3. Step 3: Cross multiply
    1,298.80x = 1,938.64 × 1,117.36
  4. Step 4: Simplify right side
    1,298.80x = 2,166,158.79
  5. Step 5: Solve for x
    x = 2,166,158.79/1,298.80
  6. Step 6: Final answer
    x = 1,667.82

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