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Finding the Fourth Proportional to 1,523.63, 2,103.39 and 964.68

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Solution

The fourth proportional to 1,523.63, 2,103.39 and 964.68 is: 1,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.63 : 2,103.39 = 964.68 : x
  2. Step 2: Convert to fraction form
    1,523.63/2,103.39 = 964.68/x
  3. Step 3: Cross multiply
    1,523.63x = 2,103.39 × 964.68
  4. Step 4: Simplify right side
    1,523.63x = 2,029,098.27
  5. Step 5: Solve for x
    x = 2,029,098.27/1,523.63
  6. Step 6: Final answer
    x = 1,331.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.