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Finding the Fourth Proportional to 2,466.72, 3,699.36 and 1,586.40

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Solution

The fourth proportional to 2,466.72, 3,699.36 and 1,586.40 is: 2,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.72 : 3,699.36 = 1,586.40 : x
  2. Step 2: Convert to fraction form
    2,466.72/3,699.36 = 1,586.40/x
  3. Step 3: Cross multiply
    2,466.72x = 3,699.36 × 1,586.40
  4. Step 4: Simplify right side
    2,466.72x = 5,868,664.70
  5. Step 5: Solve for x
    x = 5,868,664.70/2,466.72
  6. Step 6: Final answer
    x = 2,379.14

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