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Finding the Fourth Proportional to 3,442.95, 5,158.76 and 1,797.03

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Solution

The fourth proportional to 3,442.95, 5,158.76 and 1,797.03 is: 2,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.95 : 5,158.76 = 1,797.03 : x
  2. Step 2: Convert to fraction form
    3,442.95/5,158.76 = 1,797.03/x
  3. Step 3: Cross multiply
    3,442.95x = 5,158.76 × 1,797.03
  4. Step 4: Simplify right side
    3,442.95x = 9,270,437.50
  5. Step 5: Solve for x
    x = 9,270,437.50/3,442.95
  6. Step 6: Final answer
    x = 2,692.59

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1.5x scale

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.