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Finding the Fourth Proportional to 1,519.04, 2,274.88 and 867.80

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Solution

The fourth proportional to 1,519.04, 2,274.88 and 867.80 is: 1,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.04 : 2,274.88 = 867.80 : x
  2. Step 2: Convert to fraction form
    1,519.04/2,274.88 = 867.80/x
  3. Step 3: Cross multiply
    1,519.04x = 2,274.88 × 867.80
  4. Step 4: Simplify right side
    1,519.04x = 1,974,140.86
  5. Step 5: Solve for x
    x = 1,974,140.86/1,519.04
  6. Step 6: Final answer
    x = 1,299.60

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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.