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Finding the Fourth Proportional to 2,191, 3,023.58 and 1,492.38

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Solution

The fourth proportional to 2,191, 3,023.58 and 1,492.38 is: 2,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 3,023.58 = 1,492.38 : x
  2. Step 2: Convert to fraction form
    2,191/3,023.58 = 1,492.38/x
  3. Step 3: Cross multiply
    2,191x = 3,023.58 × 1,492.38
  4. Step 4: Simplify right side
    2,191x = 4,512,330.32
  5. Step 5: Solve for x
    x = 4,512,330.32/2,191
  6. Step 6: Final answer
    x = 2,059.48

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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.