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Finding the Fourth Proportional to 2,019.89, 3,029.50 and 558.70

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Solution

The fourth proportional to 2,019.89, 3,029.50 and 558.70 is: 837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.89 : 3,029.50 = 558.70 : x
  2. Step 2: Convert to fraction form
    2,019.89/3,029.50 = 558.70/x
  3. Step 3: Cross multiply
    2,019.89x = 3,029.50 × 558.70
  4. Step 4: Simplify right side
    2,019.89x = 1,692,588.67
  5. Step 5: Solve for x
    x = 1,692,588.67/2,019.89
  6. Step 6: Final answer
    x = 837.96

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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.