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Finding the Fourth Proportional to 4,560.43, 6,840.65 and 1,097.68

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Solution

The fourth proportional to 4,560.43, 6,840.65 and 1,097.68 is: 1,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.43 : 6,840.65 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    4,560.43/6,840.65 = 1,097.68/x
  3. Step 3: Cross multiply
    4,560.43x = 6,840.65 × 1,097.68
  4. Step 4: Simplify right side
    4,560.43x = 7,508,861.79
  5. Step 5: Solve for x
    x = 7,508,861.79/4,560.43
  6. Step 6: Final answer
    x = 1,646.52

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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.