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Finding the Fourth Proportional to 4,019.46, 6,029.22 and 1,097.76

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Solution

The fourth proportional to 4,019.46, 6,029.22 and 1,097.76 is: 1,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.46 : 6,029.22 = 1,097.76 : x
  2. Step 2: Convert to fraction form
    4,019.46/6,029.22 = 1,097.76/x
  3. Step 3: Cross multiply
    4,019.46x = 6,029.22 × 1,097.76
  4. Step 4: Simplify right side
    4,019.46x = 6,618,636.55
  5. Step 5: Solve for x
    x = 6,618,636.55/4,019.46
  6. Step 6: Final answer
    x = 1,646.65

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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.