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Finding the Fourth Proportional to 1,795.16, 2,692.67 and 740.85

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Solution

The fourth proportional to 1,795.16, 2,692.67 and 740.85 is: 1,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.16 : 2,692.67 = 740.85 : x
  2. Step 2: Convert to fraction form
    1,795.16/2,692.67 = 740.85/x
  3. Step 3: Cross multiply
    1,795.16x = 2,692.67 × 740.85
  4. Step 4: Simplify right side
    1,795.16x = 1,994,860.87
  5. Step 5: Solve for x
    x = 1,994,860.87/1,795.16
  6. Step 6: Final answer
    x = 1,111.25

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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.