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Finding the Fourth Proportional to 2,140.64, 3,211.43 and 659.87

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Solution

The fourth proportional to 2,140.64, 3,211.43 and 659.87 is: 989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.64 : 3,211.43 = 659.87 : x
  2. Step 2: Convert to fraction form
    2,140.64/3,211.43 = 659.87/x
  3. Step 3: Cross multiply
    2,140.64x = 3,211.43 × 659.87
  4. Step 4: Simplify right side
    2,140.64x = 2,119,126.31
  5. Step 5: Solve for x
    x = 2,119,126.31/2,140.64
  6. Step 6: Final answer
    x = 989.95

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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.