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Finding the Fourth Proportional to 1,610.59, 2,415.93 and 789.52

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Solution

The fourth proportional to 1,610.59, 2,415.93 and 789.52 is: 1,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.59 : 2,415.93 = 789.52 : x
  2. Step 2: Convert to fraction form
    1,610.59/2,415.93 = 789.52/x
  3. Step 3: Cross multiply
    1,610.59x = 2,415.93 × 789.52
  4. Step 4: Simplify right side
    1,610.59x = 1,907,425.05
  5. Step 5: Solve for x
    x = 1,907,425.05/1,610.59
  6. Step 6: Final answer
    x = 1,184.30

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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.