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Finding the Fourth Proportional to 3,361.61, 4,638.34 and 1,964.09

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Solution

The fourth proportional to 3,361.61, 4,638.34 and 1,964.09 is: 2,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.61 : 4,638.34 = 1,964.09 : x
  2. Step 2: Convert to fraction form
    3,361.61/4,638.34 = 1,964.09/x
  3. Step 3: Cross multiply
    3,361.61x = 4,638.34 × 1,964.09
  4. Step 4: Simplify right side
    3,361.61x = 9,110,117.21
  5. Step 5: Solve for x
    x = 9,110,117.21/3,361.61
  6. Step 6: Final answer
    x = 2,710.05

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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.