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Finding the Fourth Proportional to 2,102.99, 2,902.46 and 1,604.68

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Solution

The fourth proportional to 2,102.99, 2,902.46 and 1,604.68 is: 2,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.99 : 2,902.46 = 1,604.68 : x
  2. Step 2: Convert to fraction form
    2,102.99/2,902.46 = 1,604.68/x
  3. Step 3: Cross multiply
    2,102.99x = 2,902.46 × 1,604.68
  4. Step 4: Simplify right side
    2,102.99x = 4,657,504.23
  5. Step 5: Solve for x
    x = 4,657,504.23/2,102.99
  6. Step 6: Final answer
    x = 2,214.71

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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.