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Finding the Fourth Proportional to 2,237.94, 3,354.68 and 921.49

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Solution

The fourth proportional to 2,237.94, 3,354.68 and 921.49 is: 1,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.94 : 3,354.68 = 921.49 : x
  2. Step 2: Convert to fraction form
    2,237.94/3,354.68 = 921.49/x
  3. Step 3: Cross multiply
    2,237.94x = 3,354.68 × 921.49
  4. Step 4: Simplify right side
    2,237.94x = 3,091,297.99
  5. Step 5: Solve for x
    x = 3,091,297.99/2,237.94
  6. Step 6: Final answer
    x = 1,381.31

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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.