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Finding the Fourth Proportional to 2,118.64, 3,177.87 and 964.39

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Solution

The fourth proportional to 2,118.64, 3,177.87 and 964.39 is: 1,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.64 : 3,177.87 = 964.39 : x
  2. Step 2: Convert to fraction form
    2,118.64/3,177.87 = 964.39/x
  3. Step 3: Cross multiply
    2,118.64x = 3,177.87 × 964.39
  4. Step 4: Simplify right side
    2,118.64x = 3,064,706.05
  5. Step 5: Solve for x
    x = 3,064,706.05/2,118.64
  6. Step 6: Final answer
    x = 1,446.54

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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.