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Finding the Fourth Proportional to 2,940.64, 4,410.96 and 1,209.28

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Solution

The fourth proportional to 2,940.64, 4,410.96 and 1,209.28 is: 1,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.64 : 4,410.96 = 1,209.28 : x
  2. Step 2: Convert to fraction form
    2,940.64/4,410.96 = 1,209.28/x
  3. Step 3: Cross multiply
    2,940.64x = 4,410.96 × 1,209.28
  4. Step 4: Simplify right side
    2,940.64x = 5,334,085.71
  5. Step 5: Solve for x
    x = 5,334,085.71/2,940.64
  6. Step 6: Final answer
    x = 1,813.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.