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Finding the Fourth Proportional to 2,506.08, 3,756.96 and 966.72

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Solution

The fourth proportional to 2,506.08, 3,756.96 and 966.72 is: 1,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.08 : 3,756.96 = 966.72 : x
  2. Step 2: Convert to fraction form
    2,506.08/3,756.96 = 966.72/x
  3. Step 3: Cross multiply
    2,506.08x = 3,756.96 × 966.72
  4. Step 4: Simplify right side
    2,506.08x = 3,631,928.37
  5. Step 5: Solve for x
    x = 3,631,928.37/2,506.08
  6. Step 6: Final answer
    x = 1,449.25

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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.