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Finding the Fourth Proportional to 1,604.16, 2,404.96 and 1,117.76

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Solution

The fourth proportional to 1,604.16, 2,404.96 and 1,117.76 is: 1,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.16 : 2,404.96 = 1,117.76 : x
  2. Step 2: Convert to fraction form
    1,604.16/2,404.96 = 1,117.76/x
  3. Step 3: Cross multiply
    1,604.16x = 2,404.96 × 1,117.76
  4. Step 4: Simplify right side
    1,604.16x = 2,688,168.09
  5. Step 5: Solve for x
    x = 2,688,168.09/1,604.16
  6. Step 6: Final answer
    x = 1,675.75

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