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Finding the Fourth Proportional to 2,003.79, 2,768.03 and 1,898.70

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Solution

The fourth proportional to 2,003.79, 2,768.03 and 1,898.70 is: 2,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.79 : 2,768.03 = 1,898.70 : x
  2. Step 2: Convert to fraction form
    2,003.79/2,768.03 = 1,898.70/x
  3. Step 3: Cross multiply
    2,003.79x = 2,768.03 × 1,898.70
  4. Step 4: Simplify right side
    2,003.79x = 5,255,649.07
  5. Step 5: Solve for x
    x = 5,255,649.07/2,003.79
  6. Step 6: Final answer
    x = 2,622.85

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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.