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Finding the Fourth Proportional to 1,519.83, 2,280.02 and 789.35

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Solution

The fourth proportional to 1,519.83, 2,280.02 and 789.35 is: 1,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.83 : 2,280.02 = 789.35 : x
  2. Step 2: Convert to fraction form
    1,519.83/2,280.02 = 789.35/x
  3. Step 3: Cross multiply
    1,519.83x = 2,280.02 × 789.35
  4. Step 4: Simplify right side
    1,519.83x = 1,799,718.44
  5. Step 5: Solve for x
    x = 1,799,718.44/1,519.83
  6. Step 6: Final answer
    x = 1,184.16

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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.