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Finding the Fourth Proportional to 2,133.61, 3,200.38 and 964.14

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Solution

The fourth proportional to 2,133.61, 3,200.38 and 964.14 is: 1,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.61 : 3,200.38 = 964.14 : x
  2. Step 2: Convert to fraction form
    2,133.61/3,200.38 = 964.14/x
  3. Step 3: Cross multiply
    2,133.61x = 3,200.38 × 964.14
  4. Step 4: Simplify right side
    2,133.61x = 3,085,599.96
  5. Step 5: Solve for x
    x = 3,085,599.96/2,133.61
  6. Step 6: Final answer
    x = 1,446.19

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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.