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Finding the Fourth Proportional to 4,762.60, 7,143.80 and 1,299.85

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Solution

The fourth proportional to 4,762.60, 7,143.80 and 1,299.85 is: 1,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.60 : 7,143.80 = 1,299.85 : x
  2. Step 2: Convert to fraction form
    4,762.60/7,143.80 = 1,299.85/x
  3. Step 3: Cross multiply
    4,762.60x = 7,143.80 × 1,299.85
  4. Step 4: Simplify right side
    4,762.60x = 9,285,844.07
  5. Step 5: Solve for x
    x = 9,285,844.07/4,762.60
  6. Step 6: Final answer
    x = 1,949.74

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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.