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Finding the Fourth Proportional to 1,582.74, 2,371.68 and 1,094.72

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Solution

The fourth proportional to 1,582.74, 2,371.68 and 1,094.72 is: 1,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.74 : 2,371.68 = 1,094.72 : x
  2. Step 2: Convert to fraction form
    1,582.74/2,371.68 = 1,094.72/x
  3. Step 3: Cross multiply
    1,582.74x = 2,371.68 × 1,094.72
  4. Step 4: Simplify right side
    1,582.74x = 2,596,313.67
  5. Step 5: Solve for x
    x = 2,596,313.67/1,582.74
  6. Step 6: Final answer
    x = 1,640.39

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