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Finding the Fourth Proportional to 1,931.50, 2,665.83 and 1,103.50

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Solution

The fourth proportional to 1,931.50, 2,665.83 and 1,103.50 is: 1,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.50 : 2,665.83 = 1,103.50 : x
  2. Step 2: Convert to fraction form
    1,931.50/2,665.83 = 1,103.50/x
  3. Step 3: Cross multiply
    1,931.50x = 2,665.83 × 1,103.50
  4. Step 4: Simplify right side
    1,931.50x = 2,941,743.41
  5. Step 5: Solve for x
    x = 2,941,743.41/1,931.50
  6. Step 6: Final answer
    x = 1,523.04

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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.