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Finding the Fourth Proportional to 1,968.33, 2,953.22 and 914.63

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Solution

The fourth proportional to 1,968.33, 2,953.22 and 914.63 is: 1,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.33 : 2,953.22 = 914.63 : x
  2. Step 2: Convert to fraction form
    1,968.33/2,953.22 = 914.63/x
  3. Step 3: Cross multiply
    1,968.33x = 2,953.22 × 914.63
  4. Step 4: Simplify right side
    1,968.33x = 2,701,107.61
  5. Step 5: Solve for x
    x = 2,701,107.61/1,968.33
  6. Step 6: Final answer
    x = 1,372.28

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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.