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Finding the Fourth Proportional to 3,097.87, 4,647.53 and 1,018.04

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Solution

The fourth proportional to 3,097.87, 4,647.53 and 1,018.04 is: 1,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.87 : 4,647.53 = 1,018.04 : x
  2. Step 2: Convert to fraction form
    3,097.87/4,647.53 = 1,018.04/x
  3. Step 3: Cross multiply
    3,097.87x = 4,647.53 × 1,018.04
  4. Step 4: Simplify right side
    3,097.87x = 4,731,350.75
  5. Step 5: Solve for x
    x = 4,731,350.75/3,097.87
  6. Step 6: Final answer
    x = 1,527.29

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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.