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Finding the Fourth Proportional to 4,560.59, 6,840.89 and 1,097.84

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Solution

The fourth proportional to 4,560.59, 6,840.89 and 1,097.84 is: 1,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.59 : 6,840.89 = 1,097.84 : x
  2. Step 2: Convert to fraction form
    4,560.59/6,840.89 = 1,097.84/x
  3. Step 3: Cross multiply
    4,560.59x = 6,840.89 × 1,097.84
  4. Step 4: Simplify right side
    4,560.59x = 7,510,162.98
  5. Step 5: Solve for x
    x = 7,510,162.98/4,560.59
  6. Step 6: Final answer
    x = 1,646.75

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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.