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Finding the Fourth Proportional to 1,582.29, 2,368.85 and 1,193.90

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Solution

The fourth proportional to 1,582.29, 2,368.85 and 1,193.90 is: 1,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.29 : 2,368.85 = 1,193.90 : x
  2. Step 2: Convert to fraction form
    1,582.29/2,368.85 = 1,193.90/x
  3. Step 3: Cross multiply
    1,582.29x = 2,368.85 × 1,193.90
  4. Step 4: Simplify right side
    1,582.29x = 2,828,152.20
  5. Step 5: Solve for x
    x = 2,828,152.20/1,582.29
  6. Step 6: Final answer
    x = 1,787.38

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