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Finding the Fourth Proportional to 2,996.93, 4,492.53 and 1,122.32

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Solution

The fourth proportional to 2,996.93, 4,492.53 and 1,122.32 is: 1,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.93 : 4,492.53 = 1,122.32 : x
  2. Step 2: Convert to fraction form
    2,996.93/4,492.53 = 1,122.32/x
  3. Step 3: Cross multiply
    2,996.93x = 4,492.53 × 1,122.32
  4. Step 4: Simplify right side
    2,996.93x = 5,042,067.50
  5. Step 5: Solve for x
    x = 5,042,067.50/2,996.93
  6. Step 6: Final answer
    x = 1,682.41

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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.