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Finding the Fourth Proportional to 2,191.76, 3,024.54 and 1,197

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Solution

The fourth proportional to 2,191.76, 3,024.54 and 1,197 is: 1,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.76 : 3,024.54 = 1,197 : x
  2. Step 2: Convert to fraction form
    2,191.76/3,024.54 = 1,197/x
  3. Step 3: Cross multiply
    2,191.76x = 3,024.54 × 1,197
  4. Step 4: Simplify right side
    2,191.76x = 3,620,374.38
  5. Step 5: Solve for x
    x = 3,620,374.38/2,191.76
  6. Step 6: Final answer
    x = 1,651.81

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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.