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Finding the Fourth Proportional to 3,220.76, 4,830.82 and 1,029.10

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Solution

The fourth proportional to 3,220.76, 4,830.82 and 1,029.10 is: 1,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.76 : 4,830.82 = 1,029.10 : x
  2. Step 2: Convert to fraction form
    3,220.76/4,830.82 = 1,029.10/x
  3. Step 3: Cross multiply
    3,220.76x = 4,830.82 × 1,029.10
  4. Step 4: Simplify right side
    3,220.76x = 4,971,396.86
  5. Step 5: Solve for x
    x = 4,971,396.86/3,220.76
  6. Step 6: Final answer
    x = 1,543.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.