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Finding the Fourth Proportional to 2,029.50, 3,043.79 and 568.76

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Solution

The fourth proportional to 2,029.50, 3,043.79 and 568.76 is: 853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.50 : 3,043.79 = 568.76 : x
  2. Step 2: Convert to fraction form
    2,029.50/3,043.79 = 568.76/x
  3. Step 3: Cross multiply
    2,029.50x = 3,043.79 × 568.76
  4. Step 4: Simplify right side
    2,029.50x = 1,731,190.77
  5. Step 5: Solve for x
    x = 1,731,190.77/2,029.50
  6. Step 6: Final answer
    x = 853.01

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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.