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Finding the Fourth Proportional to 1,441.94, 2,166.48 and 922.15

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Solution

The fourth proportional to 1,441.94, 2,166.48 and 922.15 is: 1,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.94 : 2,166.48 = 922.15 : x
  2. Step 2: Convert to fraction form
    1,441.94/2,166.48 = 922.15/x
  3. Step 3: Cross multiply
    1,441.94x = 2,166.48 × 922.15
  4. Step 4: Simplify right side
    1,441.94x = 1,997,822.24
  5. Step 5: Solve for x
    x = 1,997,822.24/1,441.94
  6. Step 6: Final answer
    x = 1,385.51

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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.