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Finding the Fourth Proportional to 2,637.12, 3,956.04 and 905.40

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Solution

The fourth proportional to 2,637.12, 3,956.04 and 905.40 is: 1,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.12 : 3,956.04 = 905.40 : x
  2. Step 2: Convert to fraction form
    2,637.12/3,956.04 = 905.40/x
  3. Step 3: Cross multiply
    2,637.12x = 3,956.04 × 905.40
  4. Step 4: Simplify right side
    2,637.12x = 3,581,798.62
  5. Step 5: Solve for x
    x = 3,581,798.62/2,637.12
  6. Step 6: Final answer
    x = 1,358.22

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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.