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Finding the Fourth Proportional to 1,661.58, 2,291.20 and 1,101.87

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Solution

The fourth proportional to 1,661.58, 2,291.20 and 1,101.87 is: 1,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.58 : 2,291.20 = 1,101.87 : x
  2. Step 2: Convert to fraction form
    1,661.58/2,291.20 = 1,101.87/x
  3. Step 3: Cross multiply
    1,661.58x = 2,291.20 × 1,101.87
  4. Step 4: Simplify right side
    1,661.58x = 2,524,604.54
  5. Step 5: Solve for x
    x = 2,524,604.54/1,661.58
  6. Step 6: Final answer
    x = 1,519.40

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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.