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Finding the Fourth Proportional to 1,623.95, 2,241.20 and 960.47

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Solution

The fourth proportional to 1,623.95, 2,241.20 and 960.47 is: 1,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.95 : 2,241.20 = 960.47 : x
  2. Step 2: Convert to fraction form
    1,623.95/2,241.20 = 960.47/x
  3. Step 3: Cross multiply
    1,623.95x = 2,241.20 × 960.47
  4. Step 4: Simplify right side
    1,623.95x = 2,152,605.36
  5. Step 5: Solve for x
    x = 2,152,605.36/1,623.95
  6. Step 6: Final answer
    x = 1,325.54

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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.