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Finding the Fourth Proportional to 1,582.00, 2,373.49 and 1,120.67

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Solution

The fourth proportional to 1,582.00, 2,373.49 and 1,120.67 is: 1,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.00 : 2,373.49 = 1,120.67 : x
  2. Step 2: Convert to fraction form
    1,582.00/2,373.49 = 1,120.67/x
  3. Step 3: Cross multiply
    1,582.00x = 2,373.49 × 1,120.67
  4. Step 4: Simplify right side
    1,582.00x = 2,659,904.52
  5. Step 5: Solve for x
    x = 2,659,904.52/1,582.00
  6. Step 6: Final answer
    x = 1,681.35

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