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Finding the Fourth Proportional to 3,362.13, 4,638 and 1,964.07

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Solution

The fourth proportional to 3,362.13, 4,638 and 1,964.07 is: 2,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.13 : 4,638 = 1,964.07 : x
  2. Step 2: Convert to fraction form
    3,362.13/4,638 = 1,964.07/x
  3. Step 3: Cross multiply
    3,362.13x = 4,638 × 1,964.07
  4. Step 4: Simplify right side
    3,362.13x = 9,109,356.66
  5. Step 5: Solve for x
    x = 9,109,356.66/3,362.13
  6. Step 6: Final answer
    x = 2,709.40

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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.