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Finding the Fourth Proportional to 2,948.40, 4,416.12 and 2,462.40

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Solution

The fourth proportional to 2,948.40, 4,416.12 and 2,462.40 is: 3,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.40 : 4,416.12 = 2,462.40 : x
  2. Step 2: Convert to fraction form
    2,948.40/4,416.12 = 2,462.40/x
  3. Step 3: Cross multiply
    2,948.40x = 4,416.12 × 2,462.40
  4. Step 4: Simplify right side
    2,948.40x = 10,874,253.89
  5. Step 5: Solve for x
    x = 10,874,253.89/2,948.40
  6. Step 6: Final answer
    x = 3,688.19

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