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Finding the Fourth Proportional to 2,579.79, 3,870.72 and 936.45

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Solution

The fourth proportional to 2,579.79, 3,870.72 and 936.45 is: 1,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.79 : 3,870.72 = 936.45 : x
  2. Step 2: Convert to fraction form
    2,579.79/3,870.72 = 936.45/x
  3. Step 3: Cross multiply
    2,579.79x = 3,870.72 × 936.45
  4. Step 4: Simplify right side
    2,579.79x = 3,624,735.74
  5. Step 5: Solve for x
    x = 3,624,735.74/2,579.79
  6. Step 6: Final answer
    x = 1,405.05

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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.