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Finding the Fourth Proportional to 2,873.26, 4,307.46 and 1,702

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Solution

The fourth proportional to 2,873.26, 4,307.46 and 1,702 is: 2,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.26 : 4,307.46 = 1,702 : x
  2. Step 2: Convert to fraction form
    2,873.26/4,307.46 = 1,702/x
  3. Step 3: Cross multiply
    2,873.26x = 4,307.46 × 1,702
  4. Step 4: Simplify right side
    2,873.26x = 7,331,296.92
  5. Step 5: Solve for x
    x = 7,331,296.92/2,873.26
  6. Step 6: Final answer
    x = 2,551.56

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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.