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Finding the Fourth Proportional to 3,442.64, 4,751.28 and 1,950.80

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Solution

The fourth proportional to 3,442.64, 4,751.28 and 1,950.80 is: 2,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.64 : 4,751.28 = 1,950.80 : x
  2. Step 2: Convert to fraction form
    3,442.64/4,751.28 = 1,950.80/x
  3. Step 3: Cross multiply
    3,442.64x = 4,751.28 × 1,950.80
  4. Step 4: Simplify right side
    3,442.64x = 9,268,797.02
  5. Step 5: Solve for x
    x = 9,268,797.02/3,442.64
  6. Step 6: Final answer
    x = 2,692.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.