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Finding the Fourth Proportional to 3,220.36, 4,830.54 and 1,029.11

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Solution

The fourth proportional to 3,220.36, 4,830.54 and 1,029.11 is: 1,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.36 : 4,830.54 = 1,029.11 : x
  2. Step 2: Convert to fraction form
    3,220.36/4,830.54 = 1,029.11/x
  3. Step 3: Cross multiply
    3,220.36x = 4,830.54 × 1,029.11
  4. Step 4: Simplify right side
    3,220.36x = 4,971,129.01
  5. Step 5: Solve for x
    x = 4,971,129.01/3,220.36
  6. Step 6: Final answer
    x = 1,543.66

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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.