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Finding the Fourth Proportional to 1,745, 2,618.80 and 1,087.84

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Solution

The fourth proportional to 1,745, 2,618.80 and 1,087.84 is: 1,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745 : 2,618.80 = 1,087.84 : x
  2. Step 2: Convert to fraction form
    1,745/2,618.80 = 1,087.84/x
  3. Step 3: Cross multiply
    1,745x = 2,618.80 × 1,087.84
  4. Step 4: Simplify right side
    1,745x = 2,848,835.39
  5. Step 5: Solve for x
    x = 2,848,835.39/1,745
  6. Step 6: Final answer
    x = 1,632.57

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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.