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Finding the Fourth Proportional to 3,663.40, 5,494.40 and 1,197.48

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Solution

The fourth proportional to 3,663.40, 5,494.40 and 1,197.48 is: 1,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.40 : 5,494.40 = 1,197.48 : x
  2. Step 2: Convert to fraction form
    3,663.40/5,494.40 = 1,197.48/x
  3. Step 3: Cross multiply
    3,663.40x = 5,494.40 × 1,197.48
  4. Step 4: Simplify right side
    3,663.40x = 6,579,434.11
  5. Step 5: Solve for x
    x = 6,579,434.11/3,663.40
  6. Step 6: Final answer
    x = 1,795.99

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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.