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Finding the Fourth Proportional to 2,596.29, 3,582.84 and 1,417.35

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Solution

The fourth proportional to 2,596.29, 3,582.84 and 1,417.35 is: 1,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.29 : 3,582.84 = 1,417.35 : x
  2. Step 2: Convert to fraction form
    2,596.29/3,582.84 = 1,417.35/x
  3. Step 3: Cross multiply
    2,596.29x = 3,582.84 × 1,417.35
  4. Step 4: Simplify right side
    2,596.29x = 5,078,138.27
  5. Step 5: Solve for x
    x = 5,078,138.27/2,596.29
  6. Step 6: Final answer
    x = 1,955.92

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