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Finding the Fourth Proportional to 2,956.25, 4,430.54 and 1,199.21

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Solution

The fourth proportional to 2,956.25, 4,430.54 and 1,199.21 is: 1,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.25 : 4,430.54 = 1,199.21 : x
  2. Step 2: Convert to fraction form
    2,956.25/4,430.54 = 1,199.21/x
  3. Step 3: Cross multiply
    2,956.25x = 4,430.54 × 1,199.21
  4. Step 4: Simplify right side
    2,956.25x = 5,313,125.35
  5. Step 5: Solve for x
    x = 5,313,125.35/2,956.25
  6. Step 6: Final answer
    x = 1,797.25

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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.