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Finding the Fourth Proportional to 2,828.15, 4,241.42 and 953.84

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Solution

The fourth proportional to 2,828.15, 4,241.42 and 953.84 is: 1,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.15 : 4,241.42 = 953.84 : x
  2. Step 2: Convert to fraction form
    2,828.15/4,241.42 = 953.84/x
  3. Step 3: Cross multiply
    2,828.15x = 4,241.42 × 953.84
  4. Step 4: Simplify right side
    2,828.15x = 4,045,610.08
  5. Step 5: Solve for x
    x = 4,045,610.08/2,828.15
  6. Step 6: Final answer
    x = 1,430.48

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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.