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Finding the Fourth Proportional to 1,935, 2,902.50 and 780.75

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Solution

The fourth proportional to 1,935, 2,902.50 and 780.75 is: 1,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935 : 2,902.50 = 780.75 : x
  2. Step 2: Convert to fraction form
    1,935/2,902.50 = 780.75/x
  3. Step 3: Cross multiply
    1,935x = 2,902.50 × 780.75
  4. Step 4: Simplify right side
    1,935x = 2,266,126.88
  5. Step 5: Solve for x
    x = 2,266,126.88/1,935
  6. Step 6: Final answer
    x = 1,171.13

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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.