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Finding the Fourth Proportional to 1,805.72, 2,492.34 and 1,020.22

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Solution

The fourth proportional to 1,805.72, 2,492.34 and 1,020.22 is: 1,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.72 : 2,492.34 = 1,020.22 : x
  2. Step 2: Convert to fraction form
    1,805.72/2,492.34 = 1,020.22/x
  3. Step 3: Cross multiply
    1,805.72x = 2,492.34 × 1,020.22
  4. Step 4: Simplify right side
    1,805.72x = 2,542,735.11
  5. Step 5: Solve for x
    x = 2,542,735.11/1,805.72
  6. Step 6: Final answer
    x = 1,408.16

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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.