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Finding the Fourth Proportional to 2,101.80, 2,900.49 and 1,170.30

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Solution

The fourth proportional to 2,101.80, 2,900.49 and 1,170.30 is: 1,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.80 : 2,900.49 = 1,170.30 : x
  2. Step 2: Convert to fraction form
    2,101.80/2,900.49 = 1,170.30/x
  3. Step 3: Cross multiply
    2,101.80x = 2,900.49 × 1,170.30
  4. Step 4: Simplify right side
    2,101.80x = 3,394,443.45
  5. Step 5: Solve for x
    x = 3,394,443.45/2,101.80
  6. Step 6: Final answer
    x = 1,615.02

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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.