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Finding the Fourth Proportional to 1,982.64, 2,969.10 and 1,364.61

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Solution

The fourth proportional to 1,982.64, 2,969.10 and 1,364.61 is: 2,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.64 : 2,969.10 = 1,364.61 : x
  2. Step 2: Convert to fraction form
    1,982.64/2,969.10 = 1,364.61/x
  3. Step 3: Cross multiply
    1,982.64x = 2,969.10 × 1,364.61
  4. Step 4: Simplify right side
    1,982.64x = 4,051,663.55
  5. Step 5: Solve for x
    x = 4,051,663.55/1,982.64
  6. Step 6: Final answer
    x = 2,043.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.